en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (9x^6+2x^3)^4

Solution

derivative of

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

Solution

4 (9 x^{6} + 2 x^{3})^{3} (54 x^{5} + 6 x^{2})

Solution steps

\frac{d}{d x} ((9 x^{6} + 2 x^{3})^{4})

Apply the chain rule:

4 (9 x^{6} + 2 x^{3})^{3} \frac{d}{d x} (9 x^{6} + 2 x^{3})

= 4 (9 x^{6} + 2 x^{3})^{3} \frac{d}{d x} (9 x^{6} + 2 x^{3})

\frac{d}{d x} (9 x^{6} + 2 x^{3}) = 54 x^{5} + 6 x^{2}

= 4 (9 x^{6} + 2 x^{3})^{3} (54 x^{5} + 6 x^{2})

Graph

Popular Examples

tangent of y=6+4x^2-2x^3,\at x=a tangent of

y = 6 + 4 x^{2} - 2 x^{3}, at x = a

d/(dt)(e^{-t}sin(t))

\frac{d}{d t} (e^{- t} sin (t))

integral of (arcsin(7x))/(sqrt(1-49x^2))

\int \frac{arcsin ( 7 x )}{1 - 49 x ^{2}} d x

derivative of ln(5/(x^2))derivative of

ln (\frac{5}{x ^{2}})

area x^2y=4,x=2,y=4 area

x^{2} y = 4, x = 2, y = 4

Frequently Asked Questions (FAQ)

What is the derivative of (9x^6+2x^3)^4 ?
The derivative of (9x^6+2x^3)^4 is 4(9x^6+2x^3)^3(54x^5+6x^2)
What is the first derivative of (9x^6+2x^3)^4 ?
The first derivative of (9x^6+2x^3)^4 is 4(9x^6+2x^3)^3(54x^5+6x^2)