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

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

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

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

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derivative of

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

- \frac{3}{x ^{5}}

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the Power Rule:

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

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

Simplify

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

= - \frac{3}{x ^{5}}

\int \frac{1}{w ^{2} w ^{2} - 7} d w

y^{^{''}} - 6 y^{^{'}} + 9 y = x e^{x}

\int cos^{5} (θ) sin^{4} (θ) d θ

(- 5, 6), (- 3, 4)

\int \frac{x ^{2}}{( 121 + x ^{2} ) ^{2}} d x

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