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

The derivative of-cos(x-sin(x)) is sin(x)-cos(x)

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

The first derivative of-cos(x-sin(x)) is sin(x)-cos(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} (- cos (x) - sin (x))

sin (x) - cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= - (- sin (x)) - cos (x)

Simplify

= sin (x) - cos (x)

\frac{1}{y} y^{^{'}} = - \frac{1}{x}

y^{^{''}} + 3 y^{^{'}} + 2 y = sin^{2} (t)

y^{^{''}} + 14 y^{^{'}} + 50 y = 0

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

x y^{^{'}} + y = 3 x y^{2}, y (1) = - 3

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