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Popular >

derivative of (18)/(x^4)

Solution

derivative of

\frac{18}{x ^{4}}

Solution

- \frac{72}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{18}{x ^{4}})

Take the constant out:

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

= 18 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= 18 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= 18 (- 4 x^{- 4 - 1})

Simplify

18 (- 4 x^{- 4 - 1}) : - \frac{72}{x ^{5}}

= - \frac{72}{x ^{5}}

Popular Examples

f(x)= x/((1+x^2))

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

derivative of (x^2-3x+2)^5 derivative of

(x^{2} - 3 x + 2)^{5}

integral of x^{12}e^{x^{13}}

\int x^{12} e^{x^{13}} d x

tangent of f(x)=x^2-9,(-2,-5)tangent of

f (x) = x^{2} - 9, (- 2, - 5)

integral of (x^3)/(x^4+5)

\int \frac{x ^{3}}{x ^{4} + 5} d x

Frequently Asked Questions (FAQ)

What is the derivative of (18)/(x^4) ?
The derivative of (18)/(x^4) is -(72)/(x^5)
What is the first derivative of (18)/(x^4) ?
The first derivative of (18)/(x^4) is -(72)/(x^5)