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Popular >

derivative of (30/(x^4))

Solution

\frac{d}{d x} (\frac{30}{x ^{4}})

Solution

- \frac{120}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{30}{x ^{4}})

Take the constant out:

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

= 30 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

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

= 30 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

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

= 30 (- 4 x^{- 4 - 1})

Simplify

30 (- 4 x^{- 4 - 1}) : - \frac{120}{x ^{5}}

= - \frac{120}{x ^{5}}

Popular Examples

derivative of y=x^2(4x^4+5x^3-16)derivative of

y = x^{2} (4 x^{4} + 5 x^{3} - 16)

(\partial)/(\partial y)(1+x^3+y^3)

\frac{\partial}{\partial y} (1 + x^{3} + y^{3})

integral from 1 to 4 of 2/(x^3)

\int_{1}^{4} \frac{2}{x ^{3}} d x

derivative of f(x)=5cot(x/8)derivative of

f (x) = 5 cot (\frac{x}{8})

limit as x approaches 0 of x^5ln(x)

x \to 0 lim (x^{5} ln (x))

Frequently Asked Questions (FAQ)

What is the derivative of (30/(x^4)) ?
The derivative of (30/(x^4)) is -(120)/(x^5)
What is the first derivative of (30/(x^4)) ?
The first derivative of (30/(x^4)) is -(120)/(x^5)