en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 5cos^2(x-10sin(x))

Solution

\frac{d}{d x} (5 cos^{2} (x) - 10 sin (x))

Solution

- 5 sin (2 x) - 10 cos (x)

Solution steps

\frac{d}{d x} (5 cos^{2} (x) - 10 sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 cos^{2} (x)) - \frac{d}{d x} (10 sin (x))

\frac{d}{d x} (5 cos^{2} (x)) = - 5 sin (2 x)

\frac{d}{d x} (10 sin (x)) = 10 cos (x)

= - 5 sin (2 x) - 10 cos (x)

Popular Examples

integral of (x+1)^{100}

\int (x + 1)^{100} d x

limit as x approaches 0 of x^{3/2}

x \to 0 lim (x^{\frac{3}{2}})

laplacetransform e^{t-7}laplace transform

e^{t - 7}

integral of sqrt(2+e^{2t)+e^{-2t}}

\int 2 + e^{2 t} + e^{- 2 t} d t

derivative of x^2+5x+9 derivative of

x^{2} + 5 x + 9

Frequently Asked Questions (FAQ)

What is the derivative of 5cos^2(x-10sin(x)) ?
The derivative of 5cos^2(x-10sin(x)) is -5sin(2x)-10cos(x)
What is the first derivative of 5cos^2(x-10sin(x)) ?
The first derivative of 5cos^2(x-10sin(x)) is -5sin(2x)-10cos(x)