Consider the following functions: f(x)=x√3-x; g(x) = x³ - 6x² + 3; h(x)= = ²-9 I² + 1 a) Use the limit definition of the derivative to find f'(a), g'(x), and h' (1). b) Why is h continuous at x = 1? Where are f and g continuous? Use part (a). c) Find all locations where the tangent line is horizontal for f and 9. d) Find the equation for the tangent line for h at x = 1.

Consider the following functions: f(x)=x√3-x; g(x) = x³ - 6x² + 3; h(x)= = ²-9 I² + 1 a) Use the limit definition of the derivative to find f'(a), g'(x), and h' (1). b) Why is h continuous at x = 1? Where are f and g continuous? Use part (a). c) Find all locations where the tangent line is horizontal for f and 9. d) Find the equation for the tangent line for h at x = 1.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.2: Derivatives Of Products And Quotients

Problem 37E

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