Let f and g be differentiable functions for which the following information is known: f(2)= 1, g(2) = 8, f'(2) = 9, g'(2) = 3. Let h be the new function defined by the rule h(x) = 6 f(x) - 4g(x) What is the formula for h'(x)? The equation of the tangent line for h(x) at x = 2 is y= Note: You may leave your answer in point-slope form of the equation of a line.

Let f and g be differentiable functions for which the following information is known: f(2)= 1, g(2) = 8, f'(2) = 9, g'(2) = 3. Let h be the new function defined by the rule h(x) = 6 f(x) - 4g(x) What is the formula for h'(x)? The equation of the tangent line for h(x) at x = 2 is y= Note: You may leave your answer in point-slope form of the equation of a line.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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