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OpenStudy (anonymous):
Find f(x) if f(0) = 9 and the tangent line at (x, f(x)) has slope 5x
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OpenStudy (anonymous):
\(5x\) is not a slope
OpenStudy (aakashsudhakar):
Ah, calculus! f'(x) = 5x f(x) = 2.5x^2 + C f(0) = 9 2.5(0)^2 + C = 9 C = 9 Therefore, the equation of f(x) can be represented by \[f(x) = \frac{ 5x^2 }{ 2 } + 9\]
OpenStudy (anonymous):
thank you!
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