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Popular >

derivative of (x^{10}/(20)+1/(16x^8))

Solution

\frac{d}{d x} (\frac{x ^{10}}{20} + \frac{1}{16 x ^{8}})

Solution

\frac{x ^{9}}{2} - \frac{1}{2 x ^{9}}

Solution steps

\frac{d}{d x} (\frac{x ^{10}}{20} + \frac{1}{16 x ^{8}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{10}}{20}) + \frac{d}{d x} (\frac{1}{16 x ^{8}})

\frac{d}{d x} (\frac{x ^{10}}{20}) = \frac{x ^{9}}{2}

\frac{d}{d x} (\frac{1}{16 x ^{8}}) = - \frac{1}{2 x ^{9}}

= \frac{x ^{9}}{2} - \frac{1}{2 x ^{9}}

Graph

Popular Examples

integral of \sqrt[3]{x}+10\sqrt[5]{x}

\int 3 x + 10 5 x d x

(\partial)/(\partial x)(e^{y/x})

\frac{\partial}{\partial x} (e^{\frac{y}{x}})

integral of x^2+3

\int x^{2} + 3 d x

integral from 0 to 1 of 2/3 x^2(x+1)

\int_{0}^{1} \frac{2}{3} x^{2} (x + 1) d x

derivative of (tan(x)-20)/(sec(x))derivative of

\frac{tan ( x ) - 20}{sec ( x )}

Frequently Asked Questions (FAQ)

What is the derivative of (x^{10}/(20)+1/(16x^8)) ?
The derivative of (x^{10}/(20)+1/(16x^8)) is (x^9)/2-1/(2x^9)
What is the first derivative of (x^{10}/(20)+1/(16x^8)) ?
The first derivative of (x^{10}/(20)+1/(16x^8)) is (x^9)/2-1/(2x^9)