en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(9+\sqrt{9-x)}

Solution

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

Solution

- \frac{1}{4 9 + 9 - x - x + 9}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{2 9 + 9 - x} (- \frac{1}{2 - x + 9}) : - \frac{1}{4 9 + 9 - x - x + 9}

= - \frac{1}{4 9 + 9 - x - x + 9}

Popular Examples

integral of (15sqrt(x)+sqrt(2))

\int (15 x + 2) d x

limit as x approaches-3+of 8x+5

x \to - 3 + lim (8 x + 5)

integral of 1/(4y^2+1)

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

(\partial)/(\partial x)(xln(1+x+y))

\frac{\partial}{\partial x} (x ln (1 + x + y))

integral from 0 to 1 of x

\int_{0}^{1} x d x

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(9+\sqrt{9-x)} ?
The derivative of sqrt(9+\sqrt{9-x)} is -1/(4sqrt(9+\sqrt{9-x))sqrt(-x+9)}
What is the first derivative of sqrt(9+\sqrt{9-x)} ?
The first derivative of sqrt(9+\sqrt{9-x)} is -1/(4sqrt(9+\sqrt{9-x))sqrt(-x+9)}