What is the (xsin(3x))^' ?

The (xsin(3x))^' is sin(3x)+3xcos(3x)

What is the first (xsin(3x))^' ?

The first (xsin(3x))^' is sin(3x)+3xcos(3x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x sin (3 x))^{^{'}}

sin (3 x) + 3 x cos (3 x)

Solution steps

(x sin (3 x))^{'}

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = sin (3 x)

= x^{^{'}} sin (3 x) + (sin (3 x))^{^{'}} x

x^{'} = 1

(sin (3 x))^{'} = cos (3 x) \cdot 3

= 1 \cdot sin (3 x) + cos (3 x) \cdot 3 x

Simplify

= sin (3 x) + 3 x cos (3 x)

\frac{d}{d x} (\frac{tan ( x )}{cos ( x ) - 4 x})

e^{8 x y}

\frac{d}{d x} (x^{2} sin^{3} (x) + x cos^{- 5} (x))

\frac{d}{d x} (\frac{2}{( x + 1 ) ^{2}})

sin (x) \cdot cos (x)