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Popular >

derivative of-(18/(x^4))

Solution

\frac{d}{d x} (- \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

limit as x approaches 13 of 4

x \to 13 lim (4)

derivative of sqrt(11x+2)

\frac{d}{d x} (11 x + 2)

integral of (cos(x))/(2-sin(x))

\int \frac{cos ( x )}{2 - sin ( x )} d x

y^{''}+4y^'+3y=sqrt(x)

y^{^{''}} + 4 y^{^{'}} + 3 y = x

derivative of 3/(2-2x^2)derivative of

\frac{3}{2 - 2 x ^{2}}

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)