What is the derivative of 4/((11x-3)^9) ?

The derivative of 4/((11x-3)^9) is -(396)/((11x-3)^{10)}

What is the first derivative of 4/((11x-3)^9) ?

The first derivative of 4/((11x-3)^9) is -(396)/((11x-3)^{10)}

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derivative of

\frac{4}{( 11 x - 3 ) ^{9}}

- \frac{396}{( 11 x - 3 ) ^{10}}

Solution steps

\frac{d}{d x} (\frac{4}{( 11 x - 3 ) ^{9}})

Take the constant out:

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

= 4 \frac{d}{d x} (\frac{1}{( 11 x - 3 ) ^{9}})

Apply exponent rule:

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

= 4 \frac{d}{d x} ((11 x - 3)^{- 9})

Apply the chain rule:

- \frac{9}{( 11 x - 3 ) ^{10}} \frac{d}{d x} (11 x - 3)

= - \frac{9}{( 11 x - 3 ) ^{10}} \frac{d}{d x} (11 x - 3)

\frac{d}{d x} (11 x - 3) = 11

= 4 (- \frac{9}{( 11 x - 3 ) ^{10}} \cdot 11)

Simplify

4 (- \frac{9}{( 11 x - 3 ) ^{10}} \cdot 11) : - \frac{396}{( 11 x - 3 ) ^{10}}

= - \frac{396}{( 11 x - 3 ) ^{10}}

What is the derivative of 4/((11x-3)^9) ?
The derivative of 4/((11x-3)^9) is -(396)/((11x-3)^{10)}
What is the first derivative of 4/((11x-3)^9) ?
The first derivative of 4/((11x-3)^9) is -(396)/((11x-3)^{10)}