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Daily Archives: March 25, 2019

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Piecewise Functions Continuity Differentiability Calculus problems

Calculus Piecewise Function Continuity example problem

Find the value of a that will make f(x) continuous everywhere:

   

 

Solution to this Calculus Function Continuity practice problem is given in the video below!



Calculus Piecewise Function Continuity DIFFERENTIABILITY example question

Find the value of constants a and b that will make f(x) continuous everywhere:

 

Solution to this Calculus Function Continuity Differentiability practice problem is given in the video below!



Removal of Discontinuity problems

Removal of Discontinuity example question

Determine whether the Function Discontinuity is removable in the following functions:

 

 

 

Solution to these Calculus Continuity practice problems is given in the video below!



Continuity Graphs problems Calculus problems

GRAPH of Function Continuity example question

A function f is continuous at xa if

f(a) is defined

 exists

 = f(a)

 

Various Calculus Continuity Graphs practice problems are discussed in the video below!



GED Math problems – Order of Operations

GED Math Order of Operations example question

Find the value of the following expressions using Order of Operations and P.E.M.D.A.S. rules.

(4 + 9) • 5 = 

12  7 + 4 = 

 = 

 + 9 = 

8 • 3 + 6 • 4 = 

4(5 + 3)2 =

6 + 21 ÷ 3  52

 

Solution to these GED Math practice problems is given in the video below!



GED Math problems – Powers & Roots

GED Math Powers and Roots example question

Find the value of the following expressions using powers and roots operators.

82

93

122

 = 

 = 

 =

 = 

 

Solution to these GED Math practice problems is given in the video below!



GED Math problems – Whole Number operations

GED Math Whole Number Operations example question

Find the value of the following expressions using addition, subtraction, multiplication, and division operators.

25 + 64 = 

425 + 46 = 

7,348 + 4,385 = 

228,347 + 6,287 = 

4,383  2,225 = 

5,000  879 =

87 • 95 = 

258 • 64 = 

287 ÷ 7 = 

5,418 ÷ 6 = 

1,200 ÷ 60 = 

 

Solution to these GED Math practice problems is given in the video below!



Power Rule of Derivative PROOF with Implicit Differentiation

Derivative Power Rule PROOF Implicit Differentiation example question

Show that

when =  ,

(assume that  is differentiable with  integers). 

 

Solution to this Calculus Implicit Differentiation practice problem is given in the video below!



Equations of Lines Tangent to Curve & Passing Point Implicit Differentiation problems

Implicit Differentiation HARD example question

Find Equations of Lines passing through the point (12, 3) and Tangent to the Curve

 

Solution to this Calculus Implicit Differentiation practice problem is given in the video below!



Equation of the Tangent Line Implicit Differentiation problems

Implicit Differentiation Equation of the Tangent Line example question

Find the Equation of the Tangent Line to the Curve

at the point (-1, -2)

 

Solution to this Calculus Implicit Differentiation practice problem is given in the video below!


Third Derivative Implicit Differentiation problems

Implicit Differentiation THIRD Derivative example question

Find the third derivative for the equation

 

Solution to this Calculus Implicit Differentiation practice problem is given in the video below!


Second Derivative Implicit Differentiation problems

Implicit Differentiation SECOND Derivative example question

Find the second derivative for the equation

x + xy + y = 2

 

Solution to this Calculus Implicit Differentiation practice problem is given in the video below!


Hospital’s Rule Limit problems

Limits with L’Hopital’s Rule example question

Find the indicated limits:

 

 

 

 

 

Solution to these L’Hopital’s Rule Calculus Limit practice problems is given in the video below!


TRY IT YOURSELF problems in this topic


Limits with L’Hopital’s Rule example problem

Find the indicated limits below:

 

 

 

Solution to these L’Hospital’s Rule Calculus Limit practice problems is given in the video below!


TRY IT YOURSELF problems in this topic


Limits with L’Hopital’s Rule example

Find the provided limits below:

 

 

 

 

Solution to these Hopital’s Rule Calculus Limit practice problems is given in the video below!


TRY IT YOURSELF problems in this topic


Limits with L’Hopital’s Rule example question #4

Find the indicated limits provided below:

 

 

 

Solution to these Hospital’s Rule Calculus Limit practice problems is given in the video below!


TRY IT YOURSELF problems in this topic


Limits with L’Hopital’s Rule example problem #5

Find the indicated limits given below:

 

 

Solution to these Hopital Rule Calculus Limit practice problems is given in the video below!


TRY IT YOURSELF problems in this topic


Limits with L’Hopital’s Rule example #6

Find the indicated limits below:

 

 

Solution to these Hospital Rule Calculus Limit practice problems is given in the video below!


TRY IT YOURSELF problems in this topic


Limits with L’Hopital’s Rule example question #7

Find the given limit:

 

Solution to this L’Hopital’s Rule Calculus Limit practice problem is given in the video below!


TRY IT YOURSELF problems in this topic


Limits with L’Hopital’s Rule HARD example problem

Find the indicated limit:

 

Solution to this L’Hospital’s Rule Calculus Limit practice problem is given in the video below!


 

TRY IT YOURSELF example questions

Find the indicated limits by using L’Hopital’s Rule:

 

a) 

 

b) 

 

c) 

 

d) 

 

e) 

 


a)  -1

b)  1

c)  1/4

d)  1

e)  0

 

 

Limits at Infinity problems

Limits at Infinity example question

Find the given limit:

 

Solution to this Calculus Limits practice problem is given in the video below!


Limit Approaching a Constant problems

Limit example question

Find the indicated limits:

 

 

 

 

Solution to these Calculus Limit practice problems is given in the video below!


Limit example problem

Find the indicated limit:

 

Solution to this Calculus Limit practice problem is given in the video below!


Limit example

Find the indicated limit:

 

Solution to this Calculus Limit practice problem is given in the video below!


Limit example question #4

Find the indicated limit:

 

Solution to this Calculus Limit practice problem is given in the video below!


Squeeze Theorem Limit example problem

Find the indicated limit:

 

Solution to this Calculus Limit practice problem is given in the video below!


Formal Definition of Limit problems

Delta-Epsilon Formal Limit Definition Theoretical example

Prove that if

by using Formal Definition of the Limit.

Solution to this Calculus Formal Definition of a Limit practice problem can be found in the video below!



Delta-Epsilon Formal Limit Definition Theoretical example problem

Prove

by using Formal Definition of the Limit.

Solution to this Calculus Formal Definition of a Limit practice problem can be found in the video below!



Delta-Epsilon Formal Limit Definition Theoretical example question

Prove

by using Formal Definition of the Limit.

Solution to this Calculus Formal Definition of a Limit practice problem can be found in the video below!



Delta-Epsilon Formal Limit Definition Theoretical example #4

Prove

by using Formal Definition of the Limit.

Solution to this Calculus Formal Definition of a Limit practice problem can be found in the video below!



Delta-Epsilon Formal Limit Definition Theoretical example problem #5

Prove

by using Formal Definition of the Limit.

Solution to this Calculus Formal Definition of a Limit practice problem can be found in the video below!



Delta-Epsilon Formal Limit Definition Theoretical example question #6

Prove

by using Formal Definition of the Limit.

Solution to this Calculus Formal Definition of a Limit practice problem can be found in the video below!



Delta-Epsilon Formal Limit Definition Number example problem #7

If f(x) = 5x – 6, find δ > 0 whenever 0 < \dpi{150} \large | x – 14 \dpi{150} \large | < ε and

Solution to this Calculus Formal Definition of a Limit practice problem is given in the video below!





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