What is the derivative of 4/((3x)^{-2)} ?

The derivative of 4/((3x)^{-2)} is 72x

What is the first derivative of 4/((3x)^{-2)} ?

The first derivative of 4/((3x)^{-2)} is 72x

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derivative of

\frac{4}{( 3 x ) ^{- 2}}

72 x

Solution steps

\frac{d}{d x} (\frac{4}{( 3 x ) ^{- 2}})

Take the constant out:

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

= 4 \frac{d}{d x} (\frac{1}{( 3 x ) ^{- 2}})

Apply exponent rule:

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

= 4 \frac{d}{d x} ((3 x)^{2})

Apply the chain rule:

2 \cdot 3 x \frac{d}{d x} (3 x)

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

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

= 4 \cdot 2 \cdot 3 x \cdot 3

Simplify

= 72 x

\int (\frac{1}{x ^{2} + 4}) d x

x \to 0 - lim (\frac{e ^{x} - 1}{e ^{x}})

\frac{d}{d x} (\frac{x ^{2} + 4}{x})

\frac{1}{2 s + 3}

\frac{\partial}{\partial x} (x \cdot e^{x + 2 y})

What is the derivative of 4/((3x)^{-2)} ?
The derivative of 4/((3x)^{-2)} is 72x
What is the first derivative of 4/((3x)^{-2)} ?
The first derivative of 4/((3x)^{-2)} is 72x