What is the derivative of-(10/(x^3)) ?

The derivative of-(10/(x^3)) is (30)/(x^4)

What is the first derivative of-(10/(x^3)) ?

The first derivative of-(10/(x^3)) is (30)/(x^4)

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\frac{d}{d x} (- \frac{10}{x ^{3}})

\frac{30}{x ^{4}}

Solution steps

\frac{d}{d x} (- \frac{10}{x ^{3}})

Take the constant out:

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

= - 10 \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= - 10 \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= - 10 (- 3 x^{- 3 - 1})

Simplify

- 10 (- 3 x^{- 3 - 1}) : \frac{30}{x ^{4}}

= \frac{30}{x ^{4}}

\int_{0}^{\frac{π}{4}} sec^{3} (x) d x

y^{^{'}} + y = cos (x)

f (x) = 4 x^{2} + 2 x - 1, at x = 2

\frac{\partial}{\partial z} (\frac{1}{x y ^{2} z})

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

What is the derivative of-(10/(x^3)) ?
The derivative of-(10/(x^3)) is (30)/(x^4)
What is the first derivative of-(10/(x^3)) ?
The first derivative of-(10/(x^3)) is (30)/(x^4)