What is the derivative of sqrt(2{p)(xx}) ?

The derivative of sqrt(2{p)(xx}) is (x derivative of {p}(x)+{p}(x))/(sqrt(2)\sqrt{x{p)(x)}}

What is the first derivative of sqrt(2{p)(xx}) ?

The first derivative of sqrt(2{p)(xx}) is (x derivative of {p}(x)+{p}(x))/(sqrt(2)\sqrt{x{p)(x)}}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (2 p (x) x)

\frac{x \frac{d}{d x} ( p ( x ) ) + p ( x )}{2 x p ( x )}

Solution steps

\frac{d}{d x} (2 p (x) x)

Apply the chain rule:

\frac{1}{2 2 p ( x ) x} \frac{d}{d x} (2 p (x) x)

= \frac{1}{2 2 p ( x ) x} \frac{d}{d x} (2 p (x) x)

\frac{d}{d x} (2 p (x) x) = 2 (x \frac{d}{d x} (p (x)) + p (x))

= \frac{1}{2 2 p ( x ) x} \cdot 2 (x \frac{d}{d x} (p (x)) + p (x))

Simplify

\frac{1}{2 2 p ( x ) x} \cdot 2 (x \frac{d}{d x} (p (x)) + p (x)) : \frac{x \frac{d}{d x} ( p ( x ) ) + p ( x )}{2 x p ( x )}

= \frac{x \frac{d}{d x} ( p ( x ) ) + p ( x )}{2 x p ( x )}

arctan (\frac{x}{3})

f (x) = x + x + 2

\frac{\partial}{\partial x} (x y (x - 2) (y + 3))

\int x ln (x + 5) d x

\frac{\partial}{\partial x} (ln (x^{2} + y^{5}))

What is the derivative of sqrt(2{p)(xx}) ?
The derivative of sqrt(2{p)(xx}) is (x derivative of {p}(x)+{p}(x))/(sqrt(2)\sqrt{x{p)(x)}}
What is the first derivative of sqrt(2{p)(xx}) ?
The first derivative of sqrt(2{p)(xx}) is (x derivative of {p}(x)+{p}(x))/(sqrt(2)\sqrt{x{p)(x)}}