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Popular >

derivative of arcsec(x^3)

Solution

\frac{d}{d x} (arcsec (x^{3}))

Solution

\frac{3}{x x ^{6} - 1}

Solution steps

\frac{d}{d x} (arcsec (x^{3}))

Apply the chain rule:

\frac{1}{( x ^{3} ) ^{2} ( x ^{3} ) ^{2} - 1} \frac{d}{d x} (x^{3})

= \frac{1}{( x ^{3} ) ^{2} ( x ^{3} ) ^{2} - 1} \frac{d}{d x} (x^{3})

\frac{d}{d x} (x^{3}) = 3 x^{2}

= \frac{1}{( x ^{3} ) ^{2} ( x ^{3} ) ^{2} - 1} \cdot 3 x^{2}

Simplify

\frac{1}{( x ^{3} ) ^{2} ( x ^{3} ) ^{2} - 1} \cdot 3 x^{2} : \frac{3}{x x ^{6} - 1}

= \frac{3}{x x ^{6} - 1}

Popular Examples

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\int_{0}^{1} 7 cos (2 x) d x

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\int 5 sin (5 θ) sin (θ) d θ

integral of x/(x^2+5x+6)

\int \frac{x}{x ^{2} + 5 x + 6} d x

derivative of 2/pi

\frac{d}{d x} (\frac{2}{π})

integral of (e^{2x})/(4+e^{4x)}

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

Frequently Asked Questions (FAQ)

What is the derivative of arcsec(x^3) ?
The derivative of arcsec(x^3) is 3/(xsqrt(x^6-1))
What is the first derivative of arcsec(x^3) ?
The first derivative of arcsec(x^3) is 3/(xsqrt(x^6-1))