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)

Popular >

derivative of

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

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

Solution steps

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

Simplify

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

= \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_{4}^{69} \frac{1}{x ^{3} - 64} d x

x \to 0 lim (x^{2} + 4)

f (x) = e^{x} (3 x^{2} - 6 x + 6)

y^{^{'}} = (t + y)^{2} - 1, y (1) = 5

\frac{d}{d x} (\frac{2}{x ^{2} - 4})

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)