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

The derivative of f(x)=sqrt(3x^3) is (3sqrt(3)x^{3/2})/(2sqrt(x^2))

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

The first derivative of f(x)=sqrt(3x^3) is (3sqrt(3)x^{3/2})/(2sqrt(x^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = 3 x^{3}

\frac{3 3 x ^{\frac{3}{2}}}{2 x ^{2}}

Solution steps

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

Apply the chain rule:

\frac{1}{2 3 x ^{3}} \frac{d}{d x} (3 x^{3})

= \frac{1}{2 3 x ^{3}} \frac{d}{d x} (3 x^{3})

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

= \frac{1}{2 3 x ^{3}} \cdot 9 x^{2}

Simplify

\frac{1}{2 3 x ^{3}} \cdot 9 x^{2} : \frac{3 3 x ^{\frac{3}{2}}}{2 x ^{2}}

= \frac{3 3 x ^{\frac{3}{2}}}{2 x ^{2}}

f (x) = x^{5}, at x = - 1

\int x^{2} x^{3} + 39 d x

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

x \to 0 lim (\frac{9 x ^{2} - 8 x}{x})

- y + y^{^{'}} = x + e^{2} x

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