What is the derivative of (2x+1^5(x^4-3)^6) ?

The derivative of (2x+1^5(x^4-3)^6) is 10(2x+1)^4(x^4-3)^6+24x^3(x^4-3)^5(2x+1)^5

What is the first derivative of (2x+1^5(x^4-3)^6) ?

The first derivative of (2x+1^5(x^4-3)^6) is 10(2x+1)^4(x^4-3)^6+24x^3(x^4-3)^5(2x+1)^5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} ((2 x + 1)^{5} (x^{4} - 3)^{6})

10 (2 x + 1)^{4} (x^{4} - 3)^{6} + 24 x^{3} (x^{4} - 3)^{5} (2 x + 1)^{5}

Solution steps

\frac{d}{d x} ((2 x + 1)^{5} (x^{4} - 3)^{6})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = (2 x + 1)^{5}, g = (x^{4} - 3)^{6}

= \frac{d}{d x} ((2 x + 1)^{5}) (x^{4} - 3)^{6} + \frac{d}{d x} ((x^{4} - 3)^{6}) (2 x + 1)^{5}

\frac{d}{d x} ((2 x + 1)^{5}) = 10 (2 x + 1)^{4}

\frac{d}{d x} ((x^{4} - 3)^{6}) = 24 x^{3} (x^{4} - 3)^{5}

= 10 (2 x + 1)^{4} (x^{4} - 3)^{6} + 24 x^{3} (x^{4} - 3)^{5} (2 x + 1)^{5}

\int (\frac{60}{2 x + 5} - 4) d x

\int 3 x^{3} \cdot 4 x^{4} d x

\frac{\partial}{\partial x} (cos (i y) e^{i x} i)

\frac{d}{d x} (ln (\frac{1 + sin ( x )}{1 - sin ( x )}))

\int - \frac{1}{2} cos (2 x) + \frac{1}{2} d x

What is the derivative of (2x+1^5(x^4-3)^6) ?
The derivative of (2x+1^5(x^4-3)^6) is 10(2x+1)^4(x^4-3)^6+24x^3(x^4-3)^5(2x+1)^5
What is the first derivative of (2x+1^5(x^4-3)^6) ?
The first derivative of (2x+1^5(x^4-3)^6) is 10(2x+1)^4(x^4-3)^6+24x^3(x^4-3)^5(2x+1)^5