What is the derivative of (-sin(x)/(cos(x))) ?

The derivative of (-sin(x)/(cos(x))) is -sec^2(x)

What is the first derivative of (-sin(x)/(cos(x))) ?

The first derivative of (-sin(x)/(cos(x))) is -sec^2(x)

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{- sin ( x )}{cos ( x )})

- sec^{2} (x)

Solution steps

\frac{d}{d x} (\frac{- sin ( x )}{cos ( x )})

Simplify

\frac{- sin ( x )}{cos ( x )} : - tan (x)

= \frac{d}{d x} (- tan (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{d}{d x} (tan (x))

Apply the common derivative:

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

= - sec^{2} (x)

f (x) = 4 x^{3} - 14 x^{2} + 49 x + 6

\int 6 x ln (x + 1) d x

\frac{d}{d x} (24 x)

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

\int \frac{144}{x ^{3} - 12 x ^{2}} d x

What is the derivative of (-sin(x)/(cos(x))) ?
The derivative of (-sin(x)/(cos(x))) is -sec^2(x)
What is the first derivative of (-sin(x)/(cos(x))) ?
The first derivative of (-sin(x)/(cos(x))) is -sec^2(x)