What is the derivative of (23/(x^4)) ?

The derivative of (23/(x^4)) is -(92)/(x^5)

What is the first derivative of (23/(x^4)) ?

The first derivative of (23/(x^4)) is -(92)/(x^5)

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\frac{d}{d x} (\frac{23}{x ^{4}})

- \frac{92}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{23}{x ^{4}})

Take the constant out:

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

= 23 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= 23 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= 23 (- 4 x^{- 4 - 1})

Simplify

23 (- 4 x^{- 4 - 1}) : - \frac{92}{x ^{5}}

= - \frac{92}{x ^{5}}

\int \frac{1}{tan ( 5 θ )} d θ

f (x) = x^{\frac{1}{2}}

\int_{1}^{2} ln (x - 1) d x

f (x) = e^{x} - x

\int \frac{cos ( \frac{x}{3} )}{sin ^{4} ( \frac{x}{3} )} d x

What is the derivative of (23/(x^4)) ?
The derivative of (23/(x^4)) is -(92)/(x^5)
What is the first derivative of (23/(x^4)) ?
The first derivative of (23/(x^4)) is -(92)/(x^5)