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Popular >

derivative of arcsec(x^4)

Solution

\frac{d}{d x} (arcsec (x^{4}))

Solution

\frac{4}{x x ^{8} - 1}

Solution steps

\frac{d}{d x} (arcsec (x^{4}))

Apply the chain rule:

\frac{1}{( x ^{4} ) ^{2} ( x ^{4} ) ^{2} - 1} \frac{d}{d x} (x^{4})

= \frac{1}{( x ^{4} ) ^{2} ( x ^{4} ) ^{2} - 1} \frac{d}{d x} (x^{4})

\frac{d}{d x} (x^{4}) = 4 x^{3}

= \frac{1}{( x ^{4} ) ^{2} ( x ^{4} ) ^{2} - 1} \cdot 4 x^{3}

Simplify

\frac{1}{( x ^{4} ) ^{2} ( x ^{4} ) ^{2} - 1} \cdot 4 x^{3} : \frac{4}{x x ^{8} - 1}

= \frac{4}{x x ^{8} - 1}

Graph

Popular Examples

(\partial)/(\partial y)((3x+1)/(x+2))

\frac{\partial}{\partial y} (\frac{3 x + 1}{x + 2})

y^{''}+4y^'+5y=0,y(0)=1,y^'(0)=2

y^{^{''}} + 4 y^{^{'}} + 5 y = 0, y (0) = 1, y^{^{'}} (0) = 2

integral of 1/(1-3v)

\int \frac{1}{1 - 3 v} d v

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x \to 9 lim (\frac{x ^{2}}{3} - \frac{3}{x})

integral of 4sin^2(x)

\int 4 sin^{2} (x) d x

Frequently Asked Questions (FAQ)

What is the derivative of arcsec(x^4) ?
The derivative of arcsec(x^4) is 4/(xsqrt(x^8-1))
What is the first derivative of arcsec(x^4) ?
The first derivative of arcsec(x^4) is 4/(xsqrt(x^8-1))