Quiz (Implicit Differentiation)

Show all work and justify each step.

(1) Use implicit differentiation to find   at for


    
(2) Use implicit differentiation to show that tangent line at to any ellipse centered at the origin has the form Also use implicit differentiation to show that tangent line at to any hyperbola centered at the origin has the form

(3) Use logarithmic differentiation to find   for

    (a)
        
    (b)
    
    (c)

(4) Show that the sum of the - and -intercepts of any tangent line to the curve is equal to
    
(5) Find the derivative of with respect to for the function .

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Cite this as:
Implicit Differentiation Quiz
Published by Library of Math -- Online math organized by subject into topics.
Written by Smith, David A.
http://www.libraryofmath.com/implicit-differentiation-quiz.html