What is the derivative of y=(4x^2-13)^{-11} ?

The derivative of y=(4x^2-13)^{-11} is -(88x)/((4x^2-13)^{12)}

What is the first derivative of y=(4x^2-13)^{-11} ?

The first derivative of y=(4x^2-13)^{-11} is -(88x)/((4x^2-13)^{12)}

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derivative of

y = (4 x^{2} - 13)^{- 11}

- \frac{88 x}{( 4 x ^{2} - 13 ) ^{12}}

Solution steps

\frac{d}{d x} ((4 x^{2} - 13)^{- 11})

Apply the chain rule:

- \frac{11}{( 4 x ^{2} - 13 ) ^{12}} \frac{d}{d x} (4 x^{2} - 13)

= - \frac{11}{( 4 x ^{2} - 13 ) ^{12}} \frac{d}{d x} (4 x^{2} - 13)

\frac{d}{d x} (4 x^{2} - 13) = 8 x

= - \frac{11}{( 4 x ^{2} - 13 ) ^{12}} \cdot 8 x

Simplify

- \frac{11}{( 4 x ^{2} - 13 ) ^{12}} \cdot 8 x : - \frac{88 x}{( 4 x ^{2} - 13 ) ^{12}}

= - \frac{88 x}{( 4 x ^{2} - 13 ) ^{12}}

\frac{x}{a}

\int \frac{x - 3}{x ^{3}} d x

\frac{d}{d x} (16 - 5 x^{2})

x \to 2 - lim (sin (\frac{1}{x - 2}))

x \to 2 lim (x^{2} + 2)

What is the derivative of y=(4x^2-13)^{-11} ?
The derivative of y=(4x^2-13)^{-11} is -(88x)/((4x^2-13)^{12)}
What is the first derivative of y=(4x^2-13)^{-11} ?
The first derivative of y=(4x^2-13)^{-11} is -(88x)/((4x^2-13)^{12)}