t the indicated point for the function, find the following. (Round your answers to the nearest whole number.) y = (x* + 4x)³ at x = 2 (a) Find the slope of the tangent line at the given value. (b) Find the instantaneous rate of change of the function at the given value.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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At the indicated point for the function, find the following. (Round your answers to the nearest whole number.)
y = (x* + 4x)3 at x = 2
(a) Find the slope of the tangent line at the given value.
(b) Find the instantaneous rate of change of the function at the given value.
Cost is in dollars and x is the number of units. Find the marginal cost functions MC for the given cost function.
C = 800 + 33x + 7x3
MC =
Find the derivative of the function. Simplify and express the answer using positive exponents only.
s = [(8 - t2)(e2 + 9t)]4
s' =
Transcribed Image Text:At the indicated point for the function, find the following. (Round your answers to the nearest whole number.) y = (x* + 4x)3 at x = 2 (a) Find the slope of the tangent line at the given value. (b) Find the instantaneous rate of change of the function at the given value. Cost is in dollars and x is the number of units. Find the marginal cost functions MC for the given cost function. C = 800 + 33x + 7x3 MC = Find the derivative of the function. Simplify and express the answer using positive exponents only. s = [(8 - t2)(e2 + 9t)]4 s' =
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