What is the derivative of (3x^{-5})/2 ?

The derivative of (3x^{-5})/2 is -(15)/(2x^6)

What is the first derivative of (3x^{-5})/2 ?

The first derivative of (3x^{-5})/2 is -(15)/(2x^6)

Popular >

derivative of

\frac{3 x ^{- 5}}{2}

- \frac{15}{2 x ^{6}}

Solution steps

\frac{d}{d x} (\frac{3 x ^{- 5}}{2})

Take the constant out:

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

= \frac{3}{2} \frac{d}{d x} (x^{- 5})

Apply the Power Rule:

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

= \frac{3}{2} (- 5 x^{- 5 - 1})

Simplify

\frac{3}{2} (- 5 x^{- 5 - 1}) : - \frac{15}{2 x ^{6}}

= - \frac{15}{2 x ^{6}}

f (x) = 10 - 5 x

\frac{d}{d r} (\frac{g \cdot m ^{1} \cdot m ^{2}}{r ^{2}})

\frac{4 x ^{3} + 2}{x}

\frac{d}{d b} (\frac{( 1 + sin ( b ) )}{( 1 - sin ( b ) )})

y = \frac{x}{( x + 2 )}

What is the derivative of (3x^{-5})/2 ?
The derivative of (3x^{-5})/2 is -(15)/(2x^6)
What is the first derivative of (3x^{-5})/2 ?
The first derivative of (3x^{-5})/2 is -(15)/(2x^6)