en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of arcsec(x^{10})

Solution

\frac{d}{d x} (arcsec (x^{10}))

Solution

\frac{10}{x x ^{20} - 1}

Solution steps

\frac{d}{d x} (arcsec (x^{10}))

Apply the chain rule:

\frac{1}{( x ^{10} ) ^{2} ( x ^{10} ) ^{2} - 1} \frac{d}{d x} (x^{10})

= \frac{1}{( x ^{10} ) ^{2} ( x ^{10} ) ^{2} - 1} \frac{d}{d x} (x^{10})

\frac{d}{d x} (x^{10}) = 10 x^{9}

= \frac{1}{( x ^{10} ) ^{2} ( x ^{10} ) ^{2} - 1} \cdot 10 x^{9}

Simplify

\frac{1}{( x ^{10} ) ^{2} ( x ^{10} ) ^{2} - 1} \cdot 10 x^{9} : \frac{10}{x x ^{20} - 1}

= \frac{10}{x x ^{20} - 1}

Popular Examples

derivative of (cos(pix-16)^4)

\frac{d}{d x} ((cos (π x - 16))^{4})

integral of 1/(sqrt(-x^2-6x))

\int \frac{1}{- x ^{2} - 6 x} d x

area x=-y,x=2y+3,y=-2,y=1 area

x = - y, x = 2 y + 3, y = - 2, y = 1

derivative of xln(3)

\frac{d}{d x} (x ln (3))

derivative of f(x)=sqrt(x)+1 derivative of

f (x) = x + 1

Frequently Asked Questions (FAQ)

What is the derivative of arcsec(x^{10}) ?
The derivative of arcsec(x^{10}) is (10)/(xsqrt(x^{20)-1)}
What is the first derivative of arcsec(x^{10}) ?
The first derivative of arcsec(x^{10}) is (10)/(xsqrt(x^{20)-1)}