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For f(x) = x, the instantaneous rate of change is known to be - 6 at x= - 3. Find the equation of the tangent line to the graph of y= f(x) at the point with x-coordinate - 3. The equation of the tangent line to the graph at the point with x-coordinate - 3 is (Type an equation. Use integers or fractions for any numbers in the equation.)

For f(x) = x, the instantaneous rate of change is known to be - 6 at x= - 3. Find the equation of the tangent line to the graph of y= f(x) at the point with x-coordinate - 3. The equation of the tangent line to the graph at the point with x-coordinate - 3 is (Type an equation. Use integers or fractions for any numbers in the equation.)

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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For \( f(x) = x^2 \), the instantaneous rate of change is known to be \(-6\) at \( x = -3 \). Find the equation of the tangent line to the graph of \( y = f(x) \) at the point with x-coordinate \(-3\). The equation of the tangent line to the graph at the point with x-coordinate \(-3\) is \(\underline{\phantom{y}}\). *(Type an equation. Use integers or fractions for any numbers in the equation.)*
Transcribed Image Text:For \( f(x) = x^2 \), the instantaneous rate of change is known to be \(-6\) at \( x = -3 \). Find the equation of the tangent line to the graph of \( y = f(x) \) at the point with x-coordinate \(-3\). The equation of the tangent line to the graph at the point with x-coordinate \(-3\) is \(\underline{\phantom{y}}\). *(Type an equation. Use integers or fractions for any numbers in the equation.)*
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