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OpenStudy (anonymous):
If f(x) + x^2[f(x)]^3 = 10 and f(1) = 2, find f '(1).
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OpenStudy (zarkon):
just take the derivative of your equation , plug in 1 and solve for f'(1)
OpenStudy (zarkon):
\[f'(x)+x^23[f(x)]^2f'(x)+2x[f(x)]^3=0\] plug in 1...solve for f'(1)
OpenStudy (anonymous):
-16/13?
OpenStudy (zarkon):
yes
OpenStudy (anonymous):
Sweet, it was right, thanks
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