What is the derivative of-3/(x^4) ?

The derivative of-3/(x^4) is (12)/(x^5)

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

The first derivative of-3/(x^4) is (12)/(x^5)

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derivative of

- \frac{3}{x ^{4}}

\frac{12}{x ^{5}}

Solution steps

\frac{d}{d x} (- \frac{3}{x ^{4}})

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

= - 3 (- 4 x^{- 4 - 1})

Simplify

- 3 (- 4 x^{- 4 - 1}) : \frac{12}{x ^{5}}

= \frac{12}{x ^{5}}

y = 25 - x^{2}, (3, 4)

\int \frac{e ^{- 2 x}}{e ^{- 2 x} + 1} d x

x \to - 2 lim (- x^{2} + 2 x - 6)

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

n = 1 \sum \infty \frac{1}{3 n + 2}

What is the derivative of-3/(x^4) ?
The derivative of-3/(x^4) is (12)/(x^5)
What is the first derivative of-3/(x^4) ?
The first derivative of-3/(x^4) is (12)/(x^5)