What is the derivative of 8sin(x-4sqrt(2x)) ?

The derivative of 8sin(x-4sqrt(2x)) is 8cos(x)-(2sqrt(2))/(sqrt(x))

What is the first derivative of 8sin(x-4sqrt(2x)) ?

The first derivative of 8sin(x-4sqrt(2x)) is 8cos(x)-(2sqrt(2))/(sqrt(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} (8 sin (x) - 4 2 x)

8 cos (x) - \frac{2 2}{x}

Solution steps

\frac{d}{d x} (8 sin (x) - 4 2 x)

Simplify

8 sin (x) - 4 2 x : 8 sin (x) - 42 x

= \frac{d}{d x} (8 sin (x) - 42 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (8 sin (x)) - \frac{d}{d x} (42 x)

\frac{d}{d x} (8 sin (x)) = 8 cos (x)

\frac{d}{d x} (42 x) = \frac{2 2}{x}

= 8 cos (x) - \frac{2 2}{x}

{cos (t)}

f (t) = cos (8 t)

f (x) = x^{3} - 3 x + 4

y^{^{''}} + 6 y^{^{'}} + 5 y = 2 x

What is the derivative of 8sin(x-4sqrt(2x)) ?
The derivative of 8sin(x-4sqrt(2x)) is 8cos(x)-(2sqrt(2))/(sqrt(x))
What is the first derivative of 8sin(x-4sqrt(2x)) ?
The first derivative of 8sin(x-4sqrt(2x)) is 8cos(x)-(2sqrt(2))/(sqrt(x))