Question

Find the derivative of f(x)=3x^2✓x​

Answer 1

`f'(x)=(15x√(x))/(2)`

Explanation:

The power rule applies.

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

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