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Popular >

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

Solution

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

Solution

24 x

Solution steps

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

Take the constant out:

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

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

Apply exponent rule:

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

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

Apply the chain rule:

2 \cdot 2 x \frac{d}{d x} (2 x)

= 2 \cdot 2 x \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= 3 \cdot 2 \cdot 2 x \cdot 2

Simplify

= 24 x

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\int \frac{16 x ^{2}}{( x - 6 ) ( x + 2 ) ^{2}} d x

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\int \frac{x}{2 x ^{2} + 12 x + 23} d x

x(x+y)y^'=y(x-y)

x (x + y) y^{^{'}} = y (x - y)

integral of sin(u)cos(u)

\int sin (u) cos (u) d u

Frequently Asked Questions (FAQ)

What is the derivative of 3/((2x^{-2)}) ?
The derivative of 3/((2x^{-2)}) is 24x
What is the first derivative of 3/((2x^{-2)}) ?
The first derivative of 3/((2x^{-2)}) is 24x