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

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

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

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

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derivative of

\frac{3}{5 x ^{4}}

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

Solution steps

\frac{d}{d x} (\frac{3}{5 x ^{4}})

Take the constant out:

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

= \frac{3}{5} \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= \frac{3}{5} \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

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

Simplify

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

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

4 y^{^{''}} + 3 y^{^{'}} + 7 y = 0

x y^{^{'}} + y = x^{2} + 1

\frac{d}{d x} ((3 cos (2 x) + sin (3 x))^{2})

\int (x^{- 1}) d x

\int 4 t e^{4 t} d t

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