What is the derivative of-(375/(x^4)) ?

The derivative of-(375/(x^4)) is (1500)/(x^5)

What is the first derivative of-(375/(x^4)) ?

The first derivative of-(375/(x^4)) is (1500)/(x^5)

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\frac{d}{d x} (- \frac{375}{x ^{4}})

\frac{1500}{x ^{5}}

Solution steps

\frac{d}{d x} (- \frac{375}{x ^{4}})

Take the constant out:

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

= - 375 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= - 375 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= - 375 (- 4 x^{- 4 - 1})

Simplify

- 375 (- 4 x^{- 4 - 1}) : \frac{1500}{x ^{5}}

= \frac{1500}{x ^{5}}

\int_{- 2}^{3} x^{2} - x - 6 d x

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

x \to 6 lim (x + 2)

(343 + x)^{- \frac{1}{3}}

\frac{d}{d x} (2 x + 7)

What is the derivative of-(375/(x^4)) ?
The derivative of-(375/(x^4)) is (1500)/(x^5)
What is the first derivative of-(375/(x^4)) ?
The first derivative of-(375/(x^4)) is (1500)/(x^5)