What is the derivative of f(x)=(3x^2+1)^4 ?

The derivative of f(x)=(3x^2+1)^4 is 24x(3x^2+1)^3

What is the first derivative of f(x)=(3x^2+1)^4 ?

The first derivative of f(x)=(3x^2+1)^4 is 24x(3x^2+1)^3

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^{2} + 1)^{4}

24 x (3 x^{2} + 1)^{3}

Solution steps

\frac{d}{d x} ((3 x^{2} + 1)^{4})

Apply the chain rule:

4 (3 x^{2} + 1)^{3} \frac{d}{d x} (3 x^{2} + 1)

= 4 (3 x^{2} + 1)^{3} \frac{d}{d x} (3 x^{2} + 1)

\frac{d}{d x} (3 x^{2} + 1) = 6 x

= 4 (3 x^{2} + 1)^{3} \cdot 6 x

Simplify

= 24 x (3 x^{2} + 1)^{3}

3 + 5 x^{2} - 2 x^{3}

\int \frac{x ^{2} - 4}{x ^{2}} d x

\int (\frac{3}{x} + x) d x

y = 2 x, y = 2 x^{3}

\int_{0}^{\frac{13}{12}} \frac{68}{3} x d x

What is the derivative of f(x)=(3x^2+1)^4 ?
The derivative of f(x)=(3x^2+1)^4 is 24x(3x^2+1)^3
What is the first derivative of f(x)=(3x^2+1)^4 ?
The first derivative of f(x)=(3x^2+1)^4 is 24x(3x^2+1)^3