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20) Let y=7x+5x Then compute dy and Ay for X= -7 and dx =0.4. dy =? and Ay = ? Gounded 6o 4 decimal elaces).

20) Let y=7x+5x Then compute dy and Ay for X= -7 and dx =0.4. dy =? and Ay = ? Gounded 6o 4 decimal elaces).

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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Let \( y = 7x^2 + 5x \). Then compute \( dy \) and \( \Delta y \) for \( x = -7 \) and \( dx = 0.4 \). \( dy = ? \) and \( \Delta y = ? \) (rounded to 4 decimal places). Please note: The image does not contain any graphs or diagrams.
Transcribed Image Text:Let \( y = 7x^2 + 5x \). Then compute \( dy \) and \( \Delta y \) for \( x = -7 \) and \( dx = 0.4 \). \( dy = ? \) and \( \Delta y = ? \) (rounded to 4 decimal places). Please note: The image does not contain any graphs or diagrams.
Expert Solution
Step 1

Derivative: - The derivative of the function is the equation that we find. The instantaneous rate of change, or slope, at a specific point of a function, is known as the derivative. It calculates the exact slope at a given location on the curve. dydx, which stands for the derivative of y with respect to x, is the symbol for the derivative.

Formal derivative: - ∆y=f(x+∆x)-f(x)

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