en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 6sin(2x-3cos(3x))

Solution

\frac{d}{d x} (6 sin (2 x) - 3 cos (3 x))

Solution

12 cos (2 x) + 9 sin (3 x)

Solution steps

\frac{d}{d x} (6 sin (2 x) - 3 cos (3 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 sin (2 x)) - \frac{d}{d x} (3 cos (3 x))

\frac{d}{d x} (6 sin (2 x)) = 12 cos (2 x)

\frac{d}{d x} (3 cos (3 x)) = - 9 sin (3 x)

= 12 cos (2 x) - (- 9 sin (3 x))

Simplify

= 12 cos (2 x) + 9 sin (3 x)

Popular Examples

derivative of-536870912sin(2x)

\frac{d}{d x} (- 536870912 sin (2 x))

derivative of f(x)=sqrt(10+x)derivative of

f (x) = 10 + x

tangent of f(x)=9+5x^2-2x^3,(1,12)tangent of

f (x) = 9 + 5 x^{2} - 2 x^{3}, (1, 12)

tangent of f(x)=x^3-3x^2+2x-2 tangent of

f (x) = x^{3} - 3 x^{2} + 2 x - 2

integral from 2 to 9 of 4/(8x-9)

\int_{2}^{9} \frac{4}{8 x - 9} d x

Frequently Asked Questions (FAQ)

What is the derivative of 6sin(2x-3cos(3x)) ?
The derivative of 6sin(2x-3cos(3x)) is 12cos(2x)+9sin(3x)
What is the first derivative of 6sin(2x-3cos(3x)) ?
The first derivative of 6sin(2x-3cos(3x)) is 12cos(2x)+9sin(3x)