Tutorial Exercise Find an equation of the tangent line to the curve at the point (2, 0). y = In(x3 - 7) Part 1 of 5 Recall that to find the equation of a line with slope m through a point (xo, Yo), we can use y- Yo = m(x - xo). For y = f(x), the slope of the tangent line at (xo, Yo) is given by m = f '(xo). Note that y = In(x3 - 7) is a composition, and so we must use the Chain Rule [f(g(x))] = f '(g(x))g'(x) to find its derivative. The "inside" function is x3 -7 and the "outside" function is In x In r Part 2 of 5 The derivative of y = In x is y' = and the derivative of x - 7 is 3x
Tutorial Exercise Find an equation of the tangent line to the curve at the point (2, 0). y = In(x3 - 7) Part 1 of 5 Recall that to find the equation of a line with slope m through a point (xo, Yo), we can use y- Yo = m(x - xo). For y = f(x), the slope of the tangent line at (xo, Yo) is given by m = f '(xo). Note that y = In(x3 - 7) is a composition, and so we must use the Chain Rule [f(g(x))] = f '(g(x))g'(x) to find its derivative. The "inside" function is x3 -7 and the "outside" function is In x In r Part 2 of 5 The derivative of y = In x is y' = and the derivative of x - 7 is 3x
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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