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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 IMo(x))] = f '(g(x))g'(x) to find its derivative. The "inside" function is x3 - 7 and the "outside" function is 3x2 7 | In r Part 2 of 5 1 The derivative of y = In x is y' = x3 - 7 and the derivative of x³ - 7 is In(x)

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 IMo(x))] = f '(g(x))g'(x) to find its derivative. The "inside" function is x3 - 7 and the "outside" function is 3x2 7 | In r Part 2 of 5 1 The derivative of y = In x is y' = x3 - 7 and the derivative of x³ - 7 is In(x)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 50E
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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 flg(x))] = f '(g(x))g'(x) to find its derivative. 3x The "inside" function is x - 7 and the "outside" function is X- 7 In r Part 2 of 5 1 The derivative of y = In x is y' = 3 _ 7 x3 - and the derivative of x - 7 is In(x)
Transcribed Image Text: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 flg(x))] = f '(g(x))g'(x) to find its derivative. 3x The "inside" function is x - 7 and the "outside" function is X- 7 In r Part 2 of 5 1 The derivative of y = In x is y' = 3 _ 7 x3 - and the derivative of x - 7 is In(x)
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