Assume f and g are differentiable functions with h(x) =f(g(x)). Suppose the equation of the line tangent to the graph of g at the point (45) is y= 3x-7 and the equation of the line tangent to the graph of f at (5,3) is y- - 2x+ 13. a. Calculate h(4) and h'(4) b. Determine an equation of the line tangent to the graph of h at the point on the graph where x-4. a. h(4)-

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
icon
Related questions
Question
Assume f and g are differentiable functions with h(x) =f(g(x)). Suppose the equation of the line tangent to the graph of g at the point (45) is y= 3x-7 and the
equation of the line tangent to the graph of f at (5,3) is y- - 2x+ 13.
a. Calculate h(4) and h'(4)
b. Determine an equation of the line tangent to the graph of h at the point on the graph where x-4.
a. h(4)-
Transcribed Image Text:Assume f and g are differentiable functions with h(x) =f(g(x)). Suppose the equation of the line tangent to the graph of g at the point (45) is y= 3x-7 and the equation of the line tangent to the graph of f at (5,3) is y- - 2x+ 13. a. Calculate h(4) and h'(4) b. Determine an equation of the line tangent to the graph of h at the point on the graph where x-4. a. h(4)-
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 images

Blurred answer
Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning