What is the derivative of (5x+2^4(2x-3)^8) ?

The derivative of (5x+2^4(2x-3)^8) is 20(5x+2)^3(2x-3)^8+16(2x-3)^7(5x+2)^4

What is the first derivative of (5x+2^4(2x-3)^8) ?

The first derivative of (5x+2^4(2x-3)^8) is 20(5x+2)^3(2x-3)^8+16(2x-3)^7(5x+2)^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} ((5 x + 2)^{4} (2 x - 3)^{8})

20 (5 x + 2)^{3} (2 x - 3)^{8} + 16 (2 x - 3)^{7} (5 x + 2)^{4}

Solution steps

\frac{d}{d x} ((5 x + 2)^{4} (2 x - 3)^{8})

Apply the Product Rule:

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

f = (5 x + 2)^{4}, g = (2 x - 3)^{8}

= \frac{d}{d x} ((5 x + 2)^{4}) (2 x - 3)^{8} + \frac{d}{d x} ((2 x - 3)^{8}) (5 x + 2)^{4}

\frac{d}{d x} ((5 x + 2)^{4}) = 20 (5 x + 2)^{3}

\frac{d}{d x} ((2 x - 3)^{8}) = 16 (2 x - 3)^{7}

= 20 (5 x + 2)^{3} (2 x - 3)^{8} + 16 (2 x - 3)^{7} (5 x + 2)^{4}

y = 4 x, y = 0, x = 2

z \to 2 i lim (i z^{4} + 3 z^{2} - 10 i)

x y^{^{'}} = y^{2}

f (x) = x^{2} - 8 x

\frac{\partial}{\partial x} ((e^{x} - 2 y^{- 3})^{\frac{2}{5}})

What is the derivative of (5x+2^4(2x-3)^8) ?
The derivative of (5x+2^4(2x-3)^8) is 20(5x+2)^3(2x-3)^8+16(2x-3)^7(5x+2)^4
What is the first derivative of (5x+2^4(2x-3)^8) ?
The first derivative of (5x+2^4(2x-3)^8) is 20(5x+2)^3(2x-3)^8+16(2x-3)^7(5x+2)^4