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

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

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

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

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derivative of

f (x) = - \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}}

\int 0.3 x^{2} d x

\int - 4 ln (x) d x

\frac{\partial}{\partial x} (4 (x - y) \cdot e^{4 y + 2 x^{2}})

x \to 2 - lim (tan (\frac{π x}{4}))

\int \frac{1}{t ^{2} t ^{2} - 1} d t

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