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Popular >

derivative of arcsec(8x)

Solution

\frac{d}{d x} (arcsec (8 x))

Solution

\frac{1}{x 64 x ^{2} - 1}

Solution steps

\frac{d}{d x} (arcsec (8 x))

Apply the chain rule:

\frac{1}{( 8 x ) ^{2} ( 8 x ) ^{2} - 1} \frac{d}{d x} (8 x)

= \frac{1}{( 8 x ) ^{2} ( 8 x ) ^{2} - 1} \frac{d}{d x} (8 x)

\frac{d}{d x} (8 x) = 8

= \frac{1}{( 8 x ) ^{2} ( 8 x ) ^{2} - 1} \cdot 8

Simplify

\frac{1}{( 8 x ) ^{2} ( 8 x ) ^{2} - 1} \cdot 8 : \frac{1}{x 64 x ^{2} - 1}

= \frac{1}{x 64 x ^{2} - 1}

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Frequently Asked Questions (FAQ)

What is the derivative of arcsec(8x) ?
The derivative of arcsec(8x) is 1/(xsqrt(64x^2-1))
What is the first derivative of arcsec(8x) ?
The first derivative of arcsec(8x) is 1/(xsqrt(64x^2-1))