en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (5x^6+8x^3^4)

Solution

\frac{d}{d x} ((5 x^{6} + 8 x^{3})^{4})

Solution

4 (5 x^{6} + 8 x^{3})^{3} (30 x^{5} + 24 x^{2})

Solution steps

\frac{d}{d x} ((5 x^{6} + 8 x^{3})^{4})

Apply the chain rule:

4 (5 x^{6} + 8 x^{3})^{3} \frac{d}{d x} (5 x^{6} + 8 x^{3})

= 4 (5 x^{6} + 8 x^{3})^{3} \frac{d}{d x} (5 x^{6} + 8 x^{3})

\frac{d}{d x} (5 x^{6} + 8 x^{3}) = 30 x^{5} + 24 x^{2}

= 4 (5 x^{6} + 8 x^{3})^{3} (30 x^{5} + 24 x^{2})

Popular Examples

integral of csc(3x)cot(3x)

\int csc (3 x) cot (3 x) d x

integral of (3y^2)

\int (3 y^{2}) d y

tangent of y=x+sqrt(x),(49,56)tangent of

y = x + x, (49, 56)

integral from 1 to 25 of 2/x

\int_{1}^{25} \frac{2}{x} d x

limit as x approaches+0 of (x^2)/(1-cos(x))

x \to + 0 lim (\frac{x ^{2}}{1 - cos ( x )})

Frequently Asked Questions (FAQ)

What is the derivative of (5x^6+8x^3^4) ?
The derivative of (5x^6+8x^3^4) is 4(5x^6+8x^3)^3(30x^5+24x^2)
What is the first derivative of (5x^6+8x^3^4) ?
The first derivative of (5x^6+8x^3^4) is 4(5x^6+8x^3)^3(30x^5+24x^2)