What is the derivative of 3(5-9x^5) ?

The derivative of 3(5-9x^5) is -135(5-9x)^4

What is the first derivative of 3(5-9x^5) ?

The first derivative of 3(5-9x^5) is -135(5-9x)^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} (3 (5 - 9 x)^{5})

- 135 (5 - 9 x)^{4}

Solution steps

\frac{d}{d x} (3 (5 - 9 x)^{5})

Take the constant out:

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

= 3 \frac{d}{d x} ((5 - 9 x)^{5})

Apply the chain rule:

5 (5 - 9 x)^{4} \frac{d}{d x} (5 - 9 x)

= 5 (5 - 9 x)^{4} \frac{d}{d x} (5 - 9 x)

\frac{d}{d x} (5 - 9 x) = - 9

= 3 \cdot 5 (5 - 9 x)^{4} (- 9)

Simplify

= - 135 (5 - 9 x)^{4}

\int sec (t) (sec (t) tan (t)) d t

x \to \infty lim ((1 + 6 x)^{\frac{3}{x}})

\int \frac{x}{4 x ^{2} + 1} d x

y = x - 1, y = 0, x = 8

\frac{d y}{d x} = x y cos^{2} (y)

What is the derivative of 3(5-9x^5) ?
The derivative of 3(5-9x^5) is -135(5-9x)^4
What is the first derivative of 3(5-9x^5) ?
The first derivative of 3(5-9x^5) is -135(5-9x)^4