What is the derivative of sqrt((x^2/(cos(x)))) ?

The derivative of sqrt((x^2/(cos(x)))) is (sec(x)sqrt(cos(x))(xtan(x)+2))/2

What is the first derivative of sqrt((x^2/(cos(x)))) ?

The first derivative of sqrt((x^2/(cos(x)))) is (sec(x)sqrt(cos(x))(xtan(x)+2))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{x ^{2}}{cos ( x )})

\frac{sec ( x ) cos ( x ) ( x tan ( x ) + 2 )}{2}

Solution steps

\frac{d}{d x} (\frac{x ^{2}}{cos ( x )})

Apply the chain rule:

\frac{1}{2 \frac{x ^{2}}{c o s ( x )}} \frac{d}{d x} (\frac{x ^{2}}{cos ( x )})

= \frac{1}{2 \frac{x ^{2}}{c o s ( x )}} \frac{d}{d x} (\frac{x ^{2}}{cos ( x )})

\frac{d}{d x} (\frac{x ^{2}}{cos ( x )}) = 2 x sec (x) + sec (x) tan (x) x^{2}

= \frac{1}{2 \frac{x ^{2}}{c o s ( x )}} (2 x sec (x) + sec (x) tan (x) x^{2})

Simplify

\frac{1}{2 \frac{x ^{2}}{c o s ( x )}} (2 x sec (x) + sec (x) tan (x) x^{2}) : \frac{sec ( x ) cos ( x ) ( x tan ( x ) + 2 )}{2}

= \frac{sec ( x ) cos ( x ) ( x tan ( x ) + 2 )}{2}

\frac{d}{d x} (3 x^{2} - \frac{3}{x ^{4}})

\frac{d}{d x} (arctan ((x + y)^{2}))

x \to - 1 - lim (5 x + 2 p (x))

f (x) = \frac{5 ^{x}}{cos ( x )}

f (x) = (x - 3) (2 x + 1)

What is the derivative of sqrt((x^2/(cos(x)))) ?
The derivative of sqrt((x^2/(cos(x)))) is (sec(x)sqrt(cos(x))(xtan(x)+2))/2
What is the first derivative of sqrt((x^2/(cos(x)))) ?
The first derivative of sqrt((x^2/(cos(x)))) is (sec(x)sqrt(cos(x))(xtan(x)+2))/2