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Popular Calculus >

derivative of arcsec(7x)

Solution

\frac{d}{d x} (arcsec (7 x))

Solution

\frac{1}{x 49 x ^{2} - 1}

Solution steps

\frac{d}{d x} (arcsec (7 x))

Apply the chain rule:

\frac{1}{( 7 x ) ^{2} ( 7 x ) ^{2} - 1} \frac{d}{d x} (7 x)

= \frac{1}{( 7 x ) ^{2} ( 7 x ) ^{2} - 1} \frac{d}{d x} (7 x)

\frac{d}{d x} (7 x) = 7

= \frac{1}{( 7 x ) ^{2} ( 7 x ) ^{2} - 1} \cdot 7

Simplify

\frac{1}{( 7 x ) ^{2} ( 7 x ) ^{2} - 1} \cdot 7 : \frac{1}{x 49 x ^{2} - 1}

= \frac{1}{x 49 x ^{2} - 1}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of arcsec(7x) ?
The derivative of arcsec(7x) is 1/(xsqrt(49x^2-1))
What is the first derivative of arcsec(7x) ?
The first derivative of arcsec(7x) is 1/(xsqrt(49x^2-1))