What is the derivative of {f}(x*{g}(x)) ?

The derivative of {f}(x*{g}(x)) is derivative of {f}(x){g}(x)+derivative of {g}(x){f}(x)

What is the first derivative of {f}(x*{g}(x)) ?

The first derivative of {f}(x*{g}(x)) is derivative of {f}(x){g}(x)+derivative of {g}(x){f}(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} (f (x) \cdot g (x))

\frac{d}{d x} (f (x)) g (x) + \frac{d}{d x} (g (x)) f (x)

Solution steps

\frac{d}{d x} (f (x) g (x))

Apply the Product Rule:

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

f = f (x), g = g (x)

= \frac{d}{d x} (f (x)) g (x) + \frac{d}{d x} (g (x)) f (x)

= \frac{d}{d x} (f (x)) g (x) + \frac{d}{d x} (g (x)) f (x)

\int \frac{3}{5} sec (x) tan (x) d x

(1 + 2 x)^{2} (1 - x)^{50} + 3 x^{3} - 7 e

\frac{\partial}{\partial y} (1 - x^{2} y)

\int \frac{x}{( 1 + x )} d x

\frac{d}{d x} ((4 x - 7)^{2})

What is the derivative of {f}(x*{g}(x)) ?
The derivative of {f}(x*{g}(x)) is derivative of {f}(x){g}(x)+derivative of {g}(x){f}(x)
What is the first derivative of {f}(x*{g}(x)) ?
The first derivative of {f}(x*{g}(x)) is derivative of {f}(x){g}(x)+derivative of {g}(x){f}(x)