What is the derivative of xsqrt(9-x) ?

The derivative of xsqrt(9-x) is (-3x+18)/(2sqrt(9-x))

What is the first derivative of xsqrt(9-x) ?

The first derivative of xsqrt(9-x) is (-3x+18)/(2sqrt(9-x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x 9 - x

\frac{- 3 x + 18}{2 9 - x}

Solution steps

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

Apply the Product Rule:

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

f = x, g = 9 - x

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

\frac{d x}{d x} = 1

\frac{d}{d x} (9 - x) = - \frac{1}{2 9 - x}

= 1 \cdot 9 - x + (- \frac{1}{2 9 - x}) x

Simplify

1 \cdot 9 - x + (- \frac{1}{2 9 - x}) x : \frac{- 3 x + 18}{2 9 - x}

= \frac{- 3 x + 18}{2 9 - x}

\int tan (- 6 x + 3) d x

\int cos^{3} (x) sin^{4} (x) d x

\int 8 sin^{2} (x co) s^{3} x d x

f (x) = \frac{x}{4 x - 3 ln ( x )}

\frac{d}{d x} (e^{(\frac{x}{2})^{2}})

What is the derivative of xsqrt(9-x) ?
The derivative of xsqrt(9-x) is (-3x+18)/(2sqrt(9-x))
What is the first derivative of xsqrt(9-x) ?
The first derivative of xsqrt(9-x) is (-3x+18)/(2sqrt(9-x))