Derivatives of Inverse Functions Homework

Directions: Write legibly and in pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution, show all steps, and write the final answer in a sentence. Do not turn in your scratch work. Staple your pages together, in the correct order, and use this page as a cover sheet.

(1) Given and find and graph and together. Then evaluate at and at to show that at these points

(2) Show that and are inverses of one another. Graph an over an -interval large enough to show the graphs intersecting at and Find the slopes of the tangents to the graphs at and at and What lines are tangent to the graphs at and at and

(3) Suppose that the differentiable function has an inverse and that the graph of passes through the point and has a slope of there. Find the value of at

(4) Find the derivative given where is a constant.

(5) Find the derivative given

(6) Find the derivative given

(7) Find the derivative given

(8) Find the derivative given

(9) Find the derivative given

(10) Find the derivative given

(11) Find the derivative given   

(12) Find the derivative given   

(13) Find the derivative given   

(14) Find the derivative given    

(15) Use logarithmic differentiation to find the derivative of with respect to given

(16) Use logarithmic differentiation to find the derivative of with respect to given   

(17) Use logarithmic differentiation to find the derivative of with respect to given

(18)  Use logarithmic differentiation to find the derivative of with respect to given

(19) Use logarithmic differentiation to find the derivative of with respect to given   

(20) Find the derivative given

(21) Find the derivative given

(22) Find the derivative given

(23) Find the derivative given

(24)  Find the derivative given   

(25) Find the derivative given   

(26) Find the derivative given   

(27) Find the derivative given   

(28) Find the derivative given    

(29) Use logarithmic differentiation to find   for

(30) Use logarithmic differentiation to find   for

(31) Use logarithmic differentiation to find   for   

(32) Use logarithmic differentiation to find   for

(33) Use logarithmic differentiation to find   for

(34) Use logarithmic differentiation to find   for

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Derivatives Of Inverse Functions Homework
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
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