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Find the slope of the tangent line to the graph of the given function at the given value of x. Find the equation of the tangent line. y=x4 - 2x³ +8; x = 1

Find the slope of the tangent line to the graph of the given function at the given value of x. Find the equation of the tangent line. y=x4 - 2x³ +8; x = 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Find the slope of the tangent line to the graph of the given function at the given value of x. Find the equation of the tangent line. y=x4 - 2x³ + 8; x = 1 How would the slope of a tangent line be determined with the given information? O A. Substitute 1 for x into the derivative of the function and evaluate. B. Substitute values of x into the equation and solve for y. Plot the resulting points to find the linear equation. C. Substitute values of y into the equation and solve for x. Plot the resulting points to find the linear equation. D. Set the derivative equal to zero and solve for x. The slope of the tangent line is The equation of the line is. (Type an equation. Type your answer in slope-intercept form.)
Transcribed Image Text:Find the slope of the tangent line to the graph of the given function at the given value of x. Find the equation of the tangent line. y=x4 - 2x³ + 8; x = 1 How would the slope of a tangent line be determined with the given information? O A. Substitute 1 for x into the derivative of the function and evaluate. B. Substitute values of x into the equation and solve for y. Plot the resulting points to find the linear equation. C. Substitute values of y into the equation and solve for x. Plot the resulting points to find the linear equation. D. Set the derivative equal to zero and solve for x. The slope of the tangent line is The equation of the line is. (Type an equation. Type your answer in slope-intercept form.)
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