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Popular >

derivative of sqrt(1-x^{12)}

Solution

derivative of

1 - x^{12}

Solution

- \frac{6 x ^{11}}{1 - x ^{12}}

Solution steps

\frac{d}{d x} (1 - x^{12})

Apply the chain rule:

\frac{1}{2 1 - x ^{12}} \frac{d}{d x} (1 - x^{12})

= \frac{1}{2 1 - x ^{12}} \frac{d}{d x} (1 - x^{12})

\frac{d}{d x} (1 - x^{12}) = - 12 x^{11}

= \frac{1}{2 1 - x ^{12}} (- 12 x^{11})

Simplify

\frac{1}{2 1 - x ^{12}} (- 12 x^{11}) : - \frac{6 x ^{11}}{1 - x ^{12}}

= - \frac{6 x ^{11}}{1 - x ^{12}}

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

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(1-x^{12)} ?
The derivative of sqrt(1-x^{12)} is -(6x^{11})/(sqrt(1-x^{12))}
What is the first derivative of sqrt(1-x^{12)} ?
The first derivative of sqrt(1-x^{12)} is -(6x^{11})/(sqrt(1-x^{12))}