This question is to emphasize how our differentiation rules can be used even when it doesn't look like you know enough about a function. (This is a handy trick to use when your formula is very long to write out.) Set h (x) 1+ f(x) g(x) where f and g are differentiable functions that satisfy f(-1) = 3, f'(-1) = 3, g(-1) = 4, and g'(-1) = 5. Write down a formula for h'(x) on paper. Using this and the information above, find the value of h' (-1). Answer: h'(-1) =

This question is to emphasize how our differentiation rules can be used even when it doesn't look like you know enough about a function. (This is a handy trick to use when your formula is very long to write out.) Set h (x) 1+ f(x) g(x) where f and g are differentiable functions that satisfy f(-1) = 3, f'(-1) = 3, g(-1) = 4, and g'(-1) = 5. Write down a formula for h'(x) on paper. Using this and the information above, find the value of h' (-1). Answer: h'(-1) =

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.2: Polynomial Functions

Problem 96E: What is the purpose of the Intermediate Value Theorem?

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