4. The twice-differentiable function f is defined for all real numbers and satisfies the following conditions: f(0) = -2, f'(0) = 3, f"(0) = -1. A. The function g is given by g(x) = tan(ax) + f(x) for all real numbers, where a is a constant. Find g'(0) and g"(0) in terms of a %3D B. The function h is given by h(x) = sin(kx) · f (x) for all real numbers, where k is a constant. Find h'(x) and write an equation for the line tangent to the graph of h at

4. The twice-differentiable function f is defined for all real numbers and satisfies the following conditions: f(0) = -2, f'(0) = 3, f"(0) = -1. A. The function g is given by g(x) = tan(ax) + f(x) for all real numbers, where a is a constant. Find g'(0) and g"(0) in terms of a %3D B. The function h is given by h(x) = sin(kx) · f (x) for all real numbers, where k is a constant. Find h'(x) and write an equation for the line tangent to the graph of h at

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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