en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of arcsec(9x)

Solution

derivative of

arcsec (9 x)

Solution

\frac{1}{x ^{2} 81 x ^{2} - 1}

Solution steps

\frac{d}{d x} (arcsec (9 x))

Apply the chain rule:

\frac{1}{( 9 x ) ^{2} ( 9 x ) ^{2} - 1} \frac{d}{d x} (9 x)

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

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

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

Simplify

\frac{1}{( 9 x ) ^{2} ( 9 x ) ^{2} - 1} \cdot 9 : \frac{1}{x ^{2} 81 x ^{2} - 1}

= \frac{1}{x ^{2} 81 x ^{2} - 1}

Popular Examples

integral of 6/(xln^3(x))

\int \frac{6}{x ln ^{3} ( x )} d x

(\partial)/(\partial y)(ln(x^5+y^5))

\frac{\partial}{\partial y} (ln (x^{5} + y^{5}))

integral of (8+4x)/(1+x^2)

\int \frac{8 + 4 x}{1 + x ^{2}} d x

f^'(x)=3.52x^2-30.1x+81

f^{^{'}} (x) = 3.52 x^{2} - 30.1 x + 81

derivative of (10)/(sqrt(x))derivative of

\frac{10}{x}

Frequently Asked Questions (FAQ)

What is the derivative of arcsec(9x) ?
The derivative of arcsec(9x) is 1/(sqrt(x^2)\sqrt{81x^2-1)}
What is the first derivative of arcsec(9x) ?
The first derivative of arcsec(9x) is 1/(sqrt(x^2)\sqrt{81x^2-1)}