Derivatives of Trigonometric 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) Find the derivative given a function defined by

(2) Find the derivative given a function defined by

(3) Find the derivative given a function defined by   

(4) Find the derivative given a function defined by   

(5) Find the derivative given a function defined by   

(6) Find the derivative given a function defined by    

(7) Find the derivative given a function defined by    

(8) Find the derivative given a function defined by    

(9) Sketch the graph of the curve on the interval and their tangents at the values of and

(10) Sketch the graph of the curve on the interval and their tangents at the values of and

(11) Find all points on the curve where the tangent line is parallel to the line Sketch the curve and tangent(s) together, labeling each with its equation.

(12) Find an equation for the tangent to the curve at the point and find an equation for the horizontal tangent line.

(13) Find the limit

(14) Find the limit

(15) Find the limit

(16) Suppose the function given by   represents the position of a body moving on a coordinate line ( in meters, in seconds). Find the body's velocity, speed, and acceleration at time

(17) Is there a value f that will make continuous at Differentiable at Give reasons for your answer.

(18) Given determine the function such that  
    
    

(19) Find an equation of the tangent line to the given curve at the given point

     

(20) Determine all possible real numbers so that the graph of the function



has a horizontal tangent for at least one

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