What is the derivative of g(x)=3(5-7x)^5 ?

The derivative of g(x)=3(5-7x)^5 is -105(5-7x)^4

What is the first derivative of g(x)=3(5-7x)^5 ?

The first derivative of g(x)=3(5-7x)^5 is -105(5-7x)^4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

g (x) = 3 (5 - 7 x)^{5}

- 105 (5 - 7 x)^{4}

Solution steps

\frac{d}{d x} (3 (5 - 7 x)^{5})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} ((5 - 7 x)^{5})

Apply the chain rule:

5 (5 - 7 x)^{4} \frac{d}{d x} (5 - 7 x)

= 5 (5 - 7 x)^{4} \frac{d}{d x} (5 - 7 x)

\frac{d}{d x} (5 - 7 x) = - 7

= 3 \cdot 5 (5 - 7 x)^{4} (- 7)

Simplify

= - 105 (5 - 7 x)^{4}

What is the derivative of g(x)=3(5-7x)^5 ?
The derivative of g(x)=3(5-7x)^5 is -105(5-7x)^4
What is the first derivative of g(x)=3(5-7x)^5 ?
The first derivative of g(x)=3(5-7x)^5 is -105(5-7x)^4