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Daily Archives: April 11, 2019

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Derivative of Exponential Functions problems

Derivative of Exponential Functions example question

Find the derivative of the following functions.

 

Solution to these Calculus Derivative of Exponential Functions practice problems is given in the video below!



Derivative of Exponential Functions example problem

Find the derivative of the functions provided below.

 

Solution to these Calculus Derivative of Exponential Functions practice problems is given in the video below!



Derivative of Complex Exponential Functions example

Find the derivative of the given functions.

 

Solution to these Calculus Derivative of Exponential Functions practice problems is given in the video below!



Power Rule, Product Rule, Quotient Rule, Chain Rule Derivative problems

Power & Product Rule derivative example question

Find the derivative of the function

by using Power Rule or Product Rule.

 

Solution to this Calculus Power Product Quotient Chain Rule Derivative practice problem is given in the video below!



Quotient Rule derivative example problem

Find the derivative of the function

by using the Quotient Rule.

 

Solution to this Calculus Power Product Quotient Chain Rule Derivative practice problem is given in the video below!



Chain Rule derivative example

Find the derivative of the function

by using the Chain Rule.

 

Solution to this Calculus Power Product Quotient Chain Rule Derivative practice problem is given in the video below!



Limit Definition of a Derivative problems

Limit Definition of a Derivative example problem

Find the derivative of the function

by using Formal Limit Definition of a Derivative.

 

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



 

Equation of the Tangent Line using Limit Definition of a Derivative example question

Find the Equation of the Tangent Line to the graph of

at the point (5, 1) by using the Limit Definition of a Derivative.

 

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



 

Linear Approximation Differentiation problems

Linear Approximation example question

Find the given values of the function

by using Linear Approximation.

a)  sin(0.1)

b)  sin(1.0)

c) 

 

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



Curve Sketching Differentiation problems

Polynomial Function Curve Sketching example question

Sketch the curve represented by the given function by finding critical values (local minimum and local maximum points) and inflection points by finding first and second Derivatives.

 

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



Rational Function Curve Sketching example problem

Sketch the curve represented by the function below by finding critical values (local minimum and local maximum points) and inflection points by determining the first and second Derivative functions.

 

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



Exponential Function Curve Sketching example

Sketch the curve represented by the given function by finding critical values (local minimum, local maximum points and general extrema) and inflection points by analyzing first and second Derivative functions.

 

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