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Popular >

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

Solution

\frac{d}{d x} (\frac{2 a}{x ^{3}})

Solution

- \frac{6 a}{x ^{4}}

Solution steps

\frac{d}{d x} (\frac{2 a}{x ^{3}})

Take the constant out:

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

= 2 a \frac{d}{d x} (\frac{1}{x ^{3}})

Apply exponent rule:

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

= 2 a \frac{d}{d x} (x^{- 3})

Apply the Power Rule:

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

= 2 a (- 3 x^{- 3 - 1})

Simplify

2 a (- 3 x^{- 3 - 1}) : - \frac{6 a}{x ^{4}}

= - \frac{6 a}{x ^{4}}

Popular Examples

integral of (12)/((x^2-9))

\int \frac{12}{( x ^{2} - 9 )} d x

integral of (w^5)/(sqrt(8w^2+1))

\int \frac{w ^{5}}{8 w ^{2} + 1} d w

tangent of f(x)=3x-2x^2,(-2,-14)tangent of

f (x) = 3 x - 2 x^{2}, (- 2, - 14)

(\partial)/(\partial x)(-6xy-x^6-y^6)

\frac{\partial}{\partial x} (- 6 x y - x^{6} - y^{6})

integral of 1/(6x+5)

\int \frac{1}{6 x + 5} d x

Frequently Asked Questions (FAQ)

What is the derivative of (2a/(x^3)) ?
The derivative of (2a/(x^3)) is -(6a)/(x^4)
What is the first derivative of (2a/(x^3)) ?
The first derivative of (2a/(x^3)) is -(6a)/(x^4)