What is the derivative of (5x^6+2x^3)^4 ?

The derivative of (5x^6+2x^3)^4 is 4(5x^6+2x^3)^3(30x^5+6x^2)

What is the first derivative of (5x^6+2x^3)^4 ?

The first derivative of (5x^6+2x^3)^4 is 4(5x^6+2x^3)^3(30x^5+6x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(5 x^{6} + 2 x^{3})^{4}

4 (5 x^{6} + 2 x^{3})^{3} (30 x^{5} + 6 x^{2})

Solution steps

\frac{d}{d x} ((5 x^{6} + 2 x^{3})^{4})

Apply the chain rule:

4 (5 x^{6} + 2 x^{3})^{3} \frac{d}{d x} (5 x^{6} + 2 x^{3})

= 4 (5 x^{6} + 2 x^{3})^{3} \frac{d}{d x} (5 x^{6} + 2 x^{3})

\frac{d}{d x} (5 x^{6} + 2 x^{3}) = 30 x^{5} + 6 x^{2}

= 4 (5 x^{6} + 2 x^{3})^{3} (30 x^{5} + 6 x^{2})

f (x) = (5 + x) (12 - x) - 2.2 x

\frac{d}{d x} (sec^{2} (π x))

y = x^{2} + 1

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

cos (x) - 4 tan (x)

What is the derivative of (5x^6+2x^3)^4 ?
The derivative of (5x^6+2x^3)^4 is 4(5x^6+2x^3)^3(30x^5+6x^2)
What is the first derivative of (5x^6+2x^3)^4 ?
The first derivative of (5x^6+2x^3)^4 is 4(5x^6+2x^3)^3(30x^5+6x^2)