What is the derivative of (x^4+7x^2-3)^4 ?

The derivative of (x^4+7x^2-3)^4 is 4(x^4+7x^2-3)^3(4x^3+14x)

What is the first derivative of (x^4+7x^2-3)^4 ?

The first derivative of (x^4+7x^2-3)^4 is 4(x^4+7x^2-3)^3(4x^3+14x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(x^{4} + 7 x^{2} - 3)^{4}

4 (x^{4} + 7 x^{2} - 3)^{3} (4 x^{3} + 14 x)

Solution steps

\frac{d}{d x} ((x^{4} + 7 x^{2} - 3)^{4})

Apply the chain rule:

4 (x^{4} + 7 x^{2} - 3)^{3} \frac{d}{d x} (x^{4} + 7 x^{2} - 3)

= 4 (x^{4} + 7 x^{2} - 3)^{3} \frac{d}{d x} (x^{4} + 7 x^{2} - 3)

\frac{d}{d x} (x^{4} + 7 x^{2} - 3) = 4 x^{3} + 14 x

= 4 (x^{4} + 7 x^{2} - 3)^{3} (4 x^{3} + 14 x)

f (x) = \frac{5}{x ^{2}}, at x = 1

\int \frac{x - 1}{x ^{2} + 3 x + 2} d x

\frac{d y}{d x} = (3 y)^{\frac{1}{2}} e^{x + 10}

\int 10 x ln (x + 1) d x

\int_{- 1}^{1} (x^{3} - 9 x) d x

What is the derivative of (x^4+7x^2-3)^4 ?
The derivative of (x^4+7x^2-3)^4 is 4(x^4+7x^2-3)^3(4x^3+14x)
What is the first derivative of (x^4+7x^2-3)^4 ?
The first derivative of (x^4+7x^2-3)^4 is 4(x^4+7x^2-3)^3(4x^3+14x)