What is the derivative of (1+5x)^9 ?

The derivative of (1+5x)^9 is 45(1+5x)^8

What is the first derivative of (1+5x)^9 ?

The first derivative of (1+5x)^9 is 45(1+5x)^8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(1 + 5 x)^{9}

45 (1 + 5 x)^{8}

Solution steps

\frac{d}{d x} ((1 + 5 x)^{9})

Apply the chain rule:

9 (1 + 5 x)^{8} \frac{d}{d x} (1 + 5 x)

= 9 (1 + 5 x)^{8} \frac{d}{d x} (1 + 5 x)

\frac{d}{d x} (1 + 5 x) = 5

= 9 (1 + 5 x)^{8} \cdot 5

Simplify

= 45 (1 + 5 x)^{8}

\int \frac{9}{25 + 16 x ^{2}} d x

(sin (2 x))^{^{'}}

\frac{\partial}{\partial x} (x^{2} + 6 x y + y^{6})

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

\frac{1}{1 + sin ( x )}

What is the derivative of (1+5x)^9 ?
The derivative of (1+5x)^9 is 45(1+5x)^8
What is the first derivative of (1+5x)^9 ?
The first derivative of (1+5x)^9 is 45(1+5x)^8