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Determine the -(|2x + 7) d dx It's a piecewise function (so there are two different formulas): formula on the interval on the interval

Determine the -(|2x + 7) d dx It's a piecewise function (so there are two different formulas): formula on the interval on the interval

Calculus: Early Transcendentals
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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**Determine the \( \frac{d}{dx} (|2x + 7|) \)** It's a piecewise function (so there are two different formulas): - Formula: [______] on the interval [______] - Formula: [______] on the interval [______] In this problem, you'll need to consider the absolute value function, which results in a piecewise definition. Ensure you account for both cases, where \( 2x + 7 \) is positive and where it is negative, to find the derivative accordingly.
Transcribed Image Text:**Determine the \( \frac{d}{dx} (|2x + 7|) \)** It's a piecewise function (so there are two different formulas): - Formula: [______] on the interval [______] - Formula: [______] on the interval [______] In this problem, you'll need to consider the absolute value function, which results in a piecewise definition. Ensure you account for both cases, where \( 2x + 7 \) is positive and where it is negative, to find the derivative accordingly.
Let \( f(x) = 4x + 9 \). Then the equation of the tangent line to the graph of \( f(x) \) at the point \((-1, 5)\) is \[ y = \] There are no graphs or diagrams accompanying this text.
Transcribed Image Text:Let \( f(x) = 4x + 9 \). Then the equation of the tangent line to the graph of \( f(x) \) at the point \((-1, 5)\) is \[ y = \] There are no graphs or diagrams accompanying this text.
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