Find the derivative of f(x)=3x^2✓x

asked May 28, 2021 57.2k views

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by Rex

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4 votes

Answer:

f'(x)=(15x√(x))/(2)

Explanation:

The power rule applies.

d(x^n)/dx = nx^(n-1)

$f(x)=3x^2√(x)=3x^{(5)/(2)}\\\\f'(x)=3((5)/(2))x^{(3)/(2)}\\\\\boxed{f'(x)=(15x√(x))/(2)}$

Matusalem answered Jun 2, 2021

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