The slope of the tangent line at any point on the graph of f(x) = 7x2 + 4x is given by the derivative of f at x. To find the derivative of the given function, we will use the four-step process. Step 1: Compute f(x + h) and expand the expression. f(x) = 7x2 + 4x f(x + h) = 7(x + h)2 + 4(x + h) = 7
The slope of the tangent line at any point on the graph of f(x) = 7x2 + 4x is given by the derivative of f at x. To find the derivative of the given function, we will use the four-step process. Step 1: Compute f(x + h) and expand the expression. f(x) = 7x2 + 4x f(x + h) = 7(x + h)2 + 4(x + h) = 7
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The slope of the tangent line at any point on the graph of
f(x) = 7x2 + 4x
is given by the derivative of f at x. To find the derivative of the given function, we will use the four-step process.Step 1: Compute
f(x + h)
and expand the expression.| f(x) | = | 7x2 + 4x | ||||
|
|
||||||
| f(x + h) | = | 7(x + h)2 + 4(x + h) | ||||
|
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| = | 7
|
|||||
|
|
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| = | 7x2 +
|
None of the terms in the expanded expression can be combined. Therefore,
f(x + h)
is as follows. We note that it is not required to expand and simplify the result, but doing so will make the upcoming steps easier to complete.Expert Solution
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