en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

derivative of 10sqrt(3)sin(x-10cos(x))

Solution

\frac{d}{d x} (103 sin (x) - 10 cos (x))

Solution

103 cos (x) + 10 sin (x)

Solution steps

\frac{d}{d x} (103 sin (x) - 10 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (103 sin (x)) - \frac{d}{d x} (10 cos (x))

\frac{d}{d x} (103 sin (x)) = 103 cos (x)

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

= 103 cos (x) - (- 10 sin (x))

Simplify

= 103 cos (x) + 10 sin (x)

Graph

Popular Examples

integral of 1/(x^2+60)

\int \frac{1}{x ^{2} + 60} d x

limit as x approaches infinity of 4xe^{(1/x)}-4x

x \to \infty lim (4 x e^{(\frac{1}{x})} - 4 x)

tangent of f(x)= 3/x ,\at x=2 tangent of

f (x) = \frac{3}{x}, at x = 2

area y^2-3x=4,x-y=2 area

y^{2} - 3 x = 4, x - y = 2

derivative of e^{z/((z-3))}derivative of

e^{\frac{z}{( z - 3 )}}

Frequently Asked Questions (FAQ)

What is the derivative of 10sqrt(3)sin(x-10cos(x)) ?
The derivative of 10sqrt(3)sin(x-10cos(x)) is 10sqrt(3)cos(x)+10sin(x)
What is the first derivative of 10sqrt(3)sin(x-10cos(x)) ?
The first derivative of 10sqrt(3)sin(x-10cos(x)) is 10sqrt(3)cos(x)+10sin(x)