en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 6(2x-9^5)

Solution

\frac{d}{d x} (6 (2 x - 9)^{5})

Solution

60 (2 x - 9)^{4}

Solution steps

\frac{d}{d x} (6 (2 x - 9)^{5})

Take the constant out:

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

= 6 \frac{d}{d x} ((2 x - 9)^{5})

Apply the chain rule:

5 (2 x - 9)^{4} \frac{d}{d x} (2 x - 9)

= 5 (2 x - 9)^{4} \frac{d}{d x} (2 x - 9)

\frac{d}{d x} (2 x - 9) = 2

= 6 \cdot 5 (2 x - 9)^{4} \cdot 2

Simplify

= 60 (2 x - 9)^{4}

Popular Examples

(5x+ye^{(y/x)})dx-xe^{y/x}dy=0

(5 x + y e^{(\frac{y}{x})}) d x - x e^{\frac{y}{x}} d y = 0

(\partial)/(\partial x)(ln(cos(xy)+2))

\frac{\partial}{\partial x} (ln (cos (x y) + 2))

integral of tan^4(x)+tan^6(x)

\int tan^{4} (x) + tan^{6} (x) d x

limit as h approaches 0 of 1/(5-h)

h \to 0 lim (\frac{1}{5 - h})

inverse oflaplace (e^{-2s})/(s(s-1))inverse laplace

\frac{e ^{- 2 s}}{s ( s - 1 )}

Frequently Asked Questions (FAQ)

What is the derivative of 6(2x-9^5) ?
The derivative of 6(2x-9^5) is 60(2x-9)^4
What is the first derivative of 6(2x-9^5) ?
The first derivative of 6(2x-9^5) is 60(2x-9)^4