What is the derivative of f(x(x^3)) ?

The derivative of f(x(x^3)) is derivative of {f}(x)x^3+3x^2{f}(x)

What is the first derivative of f(x(x^3)) ?

The first derivative of f(x(x^3)) is derivative of {f}(x)x^3+3x^2{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) (x^{3}))

\frac{d}{d x} (f (x)) x^{3} + 3 x^{2} f (x)

Solution steps

\frac{d}{d x} (f (x) (x^{3}))

Apply the Product Rule:

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

f = f (x), g = x^{3}

= \frac{d}{d x} (f (x)) x^{3} + \frac{d}{d x} (x^{3}) f (x)

\frac{d}{d x} (x^{3}) = 3 x^{2}

= \frac{d}{d x} (f (x)) x^{3} + 3 x^{2} f (x)

\int x (x + 3)^{7} d x

x^{2} \frac{d y}{d x} = y (4 x + 3)

\int_{- 1}^{1} \frac{1}{x ^{2}} d x

\frac{\partial}{\partial y} (6 z e^{x yz})

\frac{1 + x}{1 - x}

What is the derivative of f(x(x^3)) ?
The derivative of f(x(x^3)) is derivative of {f}(x)x^3+3x^2{f}(x)
What is the first derivative of f(x(x^3)) ?
The first derivative of f(x(x^3)) is derivative of {f}(x)x^3+3x^2{f}(x)