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Popular >

derivative of x^2-4/(x^3)

Solution

\frac{d}{d x} (x^{2} - \frac{4}{x ^{3}})

Solution

2 x + \frac{12}{x ^{4}}

Solution steps

\frac{d}{d x} (x^{2} - \frac{4}{x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) - \frac{d}{d x} (\frac{4}{x ^{3}})

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

\frac{d}{d x} (\frac{4}{x ^{3}}) = - \frac{12}{x ^{4}}

= 2 x - (- \frac{12}{x ^{4}})

Simplify

= 2 x + \frac{12}{x ^{4}}

Graph

Popular Examples

derivative of (8x^2+4x+2/(sqrt(x)))

\frac{d}{d x} (\frac{8 x ^{2} + 4 x + 2}{x})

integral from 1 to infinity of x/(e^x)

\int_{1}^{\infty} \frac{x}{e ^{x}} d x

(\partial)/(\partial x)(60x^{4/5}y^{1/5})

\frac{\partial}{\partial x} (60 x^{\frac{4}{5}} y^{\frac{1}{5}})

integral of x/(sqrt(4-9x^2))

\int \frac{x}{4 - 9 x ^{2}} d x

integral of 2cos((npix)/2)

\int 2 cos (\frac{nπ x}{2}) d x

Frequently Asked Questions (FAQ)

What is the derivative of x^2-4/(x^3) ?
The derivative of x^2-4/(x^3) is 2x+(12)/(x^4)
What is the first derivative of x^2-4/(x^3) ?
The first derivative of x^2-4/(x^3) is 2x+(12)/(x^4)