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

The derivative of x^3sqrt(x-4) is (7x^3-24x^2)/(2sqrt(x-4))

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

The first derivative of x^3sqrt(x-4) is (7x^3-24x^2)/(2sqrt(x-4))

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^{3} x - 4)

\frac{7 x ^{3} - 24 x ^{2}}{2 x - 4}

Solution steps

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

Apply the Product Rule:

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

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

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

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

\frac{d}{d x} (x - 4) = \frac{1}{2 x - 4}

= 3 x^{2} x - 4 + \frac{1}{2 x - 4} x^{3}

Simplify

3 x^{2} x - 4 + \frac{1}{2 x - 4} x^{3} : \frac{7 x ^{3} - 24 x ^{2}}{2 x - 4}

= \frac{7 x ^{3} - 24 x ^{2}}{2 x - 4}

\int cot (z) d z

\frac{π}{4} e^{4 x + 15}

x \to 0 lim (\frac{4}{( 5 + x ) ^{2} - 2})

y = ln (x^{14})

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

What is the derivative of x^3sqrt(x-4) ?
The derivative of x^3sqrt(x-4) is (7x^3-24x^2)/(2sqrt(x-4))
What is the first derivative of x^3sqrt(x-4) ?
The first derivative of x^3sqrt(x-4) is (7x^3-24x^2)/(2sqrt(x-4))