f(x) f'(x) g(x) g'(x) 1 -2 1 10 2 4 -8 12 -9 -3 3 2 4 -1 -2 -8 -4 The functions f and g are twice-differentiable for all real numbers and have continuous second derivatives. The graph of f is strictly decreasing. The values of f, f', g, and g' for selected values of x are shown in the table above. Let h be the function given by h(x) = f(x) · g(x). c) Let f be the inverse function of f. Write an equation for the line tangent to the graph of y = f(x) at x = 4. d) Evaluate fg" ) dx.

f(x) f'(x) g(x) g'(x) 1 -2 1 10 2 4 -8 12 -9 -3 3 2 4 -1 -2 -8 -4 The functions f and g are twice-differentiable for all real numbers and have continuous second derivatives. The graph of f is strictly decreasing. The values of f, f', g, and g' for selected values of x are shown in the table above. Let h be the function given by h(x) = f(x) · g(x). c) Let f be the inverse function of f. Write an equation for the line tangent to the graph of y = f(x) at x = 4. d) Evaluate fg" ) dx.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 53E

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