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Differential Calculus

Differentiation and Derivatives

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Problem Name

Problem Description

Notes

derivative_1

Use the basic definition of the derivative to differentiate the function
derivative_1_1.gif

 

derivative_2

Use the definition of the derivative to find derivative_2_1.gif for the following function:
derivative_2_2.gif

 

derivative_3

Find the derivative of the following function:
derivative_3_1.gif

 

derivative_4

Find derivative_4_1.gif for the following function and evaluate the derivative at the point (2, -1):
derivative_4_2.gif

 

derivative_5

Find the derivative of the function
derivative_5_1.gif

 

derivative_6

Given only that derivative_6_1.gif and that derivative_6_2.gif , show that derivative_6_3.gif

 

derivative_7

Given only that derivative_7_1.gif and that derivative_7_2.gif , show that derivative_7_3.gif

 

derivative_8

Given only that derivative_8_1.gif and that derivative_8_2.gif , show that derivative_8_3.gif

 

derivative_9

Given the following function:
derivative_9_1.gif
Find its second derivative.

 

derivative_10

Given the following function:
derivative_10_1.gif
Find its second derivative.

 

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