en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

10 cos (x) - 103 sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Graph

Popular Examples

tangent of y=9x-6sqrt(x),(1,3)tangent of

y = 9 x - 6 x, (1, 3)

limit as x approaches 1 of x^4-1

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

integral of (x^5-x^4+4x^2-x)/(x^3+1)

\int \frac{x ^{5} - x ^{4} + 4 x ^{2} - x}{x ^{3} + 1} d x

limit as x approaches 0 of xcos(7/x)

x \to 0 lim (x cos (\frac{7}{x}))

derivative of (sqrt(x)+x)/(x^2)derivative of

\frac{x + x}{x ^{2}}

Frequently Asked Questions (FAQ)

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