Find an equation of the curve whose tangent line has a slope of f'(x)=3x^−12/13 given that the point (−1,-3) is on the curve. The function f(x) satisfying f'(x)=3x^−12/13 and f(-1)=-3 is f(x):

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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Find an equation of the curve whose tangent
line has a slope of
f'(x)=3x^−12/13 given that the point (−1,-3) is
on the curve.
The function f(x) satisfying f'(x)=3x^−12/13
and f(-1)=-3 is f(x):
Transcribed Image Text:Find an equation of the curve whose tangent line has a slope of f'(x)=3x^−12/13 given that the point (−1,-3) is on the curve. The function f(x) satisfying f'(x)=3x^−12/13 and f(-1)=-3 is f(x):
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