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Popular >

derivative of (x^n/(n^2))

Solution

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

Solution

\frac{x ^{n - 1}}{n}

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{n ^{2}} \frac{d}{d x} (x^{n})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

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

Simplify

\frac{1}{n ^{2}} n x^{n - 1} : \frac{x ^{n - 1}}{n}

= \frac{x ^{n - 1}}{n}

Popular Examples

integral from-infinity to 0 of 1/(3-2x)

\int_{- \infty}^{0} \frac{1}{3 - 2 x} d x

derivative of e^{-mx}derivative of

e^{- m x}

(d^2)/(dx^2)(11tan(x/(10)))

\frac{d ^{2}}{d x ^{2}} (11 tan (\frac{x}{10}))

derivative of f(x)=4sin^2(0.5x)+1 derivative of

f (x) = 4 sin^{2} (0.5 x) + 1

derivative of 10000(12+xe^{-0.05x})

\frac{d}{d x} (10000 (12 + x) e^{- 0.05 x})

Frequently Asked Questions (FAQ)

What is the derivative of (x^n/(n^2)) ?
The derivative of (x^n/(n^2)) is (x^{n-1})/n
What is the first derivative of (x^n/(n^2)) ?
The first derivative of (x^n/(n^2)) is (x^{n-1})/n