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Popular >

derivative of (x^3/2-3/(x^2))

Solution

\frac{d}{d x} (\frac{x ^{3}}{2} - \frac{3}{x ^{2}})

Solution

\frac{3 x ^{2}}{2} + \frac{6}{x ^{3}}

Solution steps

\frac{d}{d x} (\frac{x ^{3}}{2} - \frac{3}{x ^{2}})

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (\frac{3}{x ^{2}}) = - \frac{6}{x ^{3}}

= \frac{3 x ^{2}}{2} - (- \frac{6}{x ^{3}})

Simplify

= \frac{3 x ^{2}}{2} + \frac{6}{x ^{3}}

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y^{^{''}} - 7 y^{^{'}} + 10 y = - 2 cos (2 t)

derivative of f(x)=4x-1 derivative of

f (x) = 4 x - 1

(dy)/(dx)=8e^{x-y}

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\int 3 v (v^{2} + 4)^{2} d v

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Frequently Asked Questions (FAQ)

What is the derivative of (x^3/2-3/(x^2)) ?
The derivative of (x^3/2-3/(x^2)) is (3x^2)/2+6/(x^3)
What is the first derivative of (x^3/2-3/(x^2)) ?
The first derivative of (x^3/2-3/(x^2)) is (3x^2)/2+6/(x^3)