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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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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(x - 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 x -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 x3- 7 is 3r?
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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(x - 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 x -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 x3- 7 is 3r? Submit Skip (you cannot come back) Need Help? Read It
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