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Power Rule of Derivative PROOF & Binomial Theorem

Derivative Power Rule PROOF example question

Show that

using Limits and Binomial Theorem.

 

Solution to this Calculus Differentiation Power Rule practice problem 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!



 

Calculus problems (complete Playlist)

Find a variety of Calculus examples and practice problems to help you improve in Calculus 1, Calculus 2, Calculus 3, and more courses.

Topics include limits, continuity, differentiation, integration, parametric equations, polar coordinates, sequences and series, application problems, and more!


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!






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