What is the derivative of x^4(3-x^3) ?

The derivative of x^4(3-x^3) is 4x^3(3-x)^3-3x^4(3-x)^2

What is the first derivative of x^4(3-x^3) ?

The first derivative of x^4(3-x^3) is 4x^3(3-x)^3-3x^4(3-x)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (x^{4} (3 - x)^{3})

4 x^{3} (3 - x)^{3} - 3 x^{4} (3 - x)^{2}

Solution steps

\frac{d}{d x} (x^{4} (3 - x)^{3})

Apply the Product Rule:

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

f = x^{4}, g = (3 - x)^{3}

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

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

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

= 4 x^{3} (3 - x)^{3} + (- 3 (3 - x)^{2}) x^{4}

Simplify

= 4 x^{3} (3 - x)^{3} - 3 x^{4} (3 - x)^{2}

\int 1 - tan^{2} (x) d x

y^{^{''}} + 11 y^{^{'}} + 28 y = 0

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

x \to 0 lim (ab s x)

\frac{\partial}{\partial v} (u + v^{2})

What is the derivative of x^4(3-x^3) ?
The derivative of x^4(3-x^3) is 4x^3(3-x)^3-3x^4(3-x)^2
What is the first derivative of x^4(3-x^3) ?
The first derivative of x^4(3-x^3) is 4x^3(3-x)^3-3x^4(3-x)^2