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Popular >

derivative of 3x^{5/2}+8x^2

Solution

derivative of

3 x^{\frac{5}{2}} + 8 x^{2}

Solution

\frac{15 x ^{\frac{3}{2}}}{2} + 16 x

Solution steps

\frac{d}{d x} (3 x^{\frac{5}{2}} + 8 x^{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3 x^{\frac{5}{2}}) + \frac{d}{d x} (8 x^{2})

\frac{d}{d x} (3 x^{\frac{5}{2}}) = \frac{15 x ^{\frac{3}{2}}}{2}

\frac{d}{d x} (8 x^{2}) = 16 x

= \frac{15 x ^{\frac{3}{2}}}{2} + 16 x

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\int (cos (5 x) cos (3 x)) d x

Frequently Asked Questions (FAQ)

What is the derivative of 3x^{5/2}+8x^2 ?
The derivative of 3x^{5/2}+8x^2 is (15x^{3/2})/2+16x
What is the first derivative of 3x^{5/2}+8x^2 ?
The first derivative of 3x^{5/2}+8x^2 is (15x^{3/2})/2+16x