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Popular >

derivative of y=(x^5)/(10)+1/(6x^3)

Solution

derivative of

y = \frac{x ^{5}}{10} + \frac{1}{6 x ^{3}}

Solution

\frac{x ^{4}}{2} - \frac{1}{2 x ^{4}}

Solution steps

\frac{d}{d x} (\frac{x ^{5}}{10} + \frac{1}{6 x ^{3}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{5}}{10}) + \frac{d}{d x} (\frac{1}{6 x ^{3}})

\frac{d}{d x} (\frac{x ^{5}}{10}) = \frac{x ^{4}}{2}

\frac{d}{d x} (\frac{1}{6 x ^{3}}) = - \frac{1}{2 x ^{4}}

= \frac{x ^{4}}{2} - \frac{1}{2 x ^{4}}

Popular Examples

sum from n=1 to infinity of n/((n+1)!)

n = 1 \sum \infty \frac{n}{( n + 1 ) !}

d/(dt)(4e^{2t})

\frac{d}{d t} (4 e^{2 t})

integral of (e^{4x})/(e^{4x)+1}

\int \frac{e ^{4 x}}{e ^{4 x} + 1} d x

derivative of 7e^{-3x}

\frac{d}{d x} (7 e^{- 3 x})

integral of x^{-5/4}

\int x^{- \frac{5}{4}} d x

Frequently Asked Questions (FAQ)

What is the derivative of y=(x^5)/(10)+1/(6x^3) ?
The derivative of y=(x^5)/(10)+1/(6x^3) is (x^4)/2-1/(2x^4)
What is the first derivative of y=(x^5)/(10)+1/(6x^3) ?
The first derivative of y=(x^5)/(10)+1/(6x^3) is (x^4)/2-1/(2x^4)