What is the derivative of f(x)=sqrt(5x+7) ?

The derivative of f(x)=sqrt(5x+7) is 5/(2sqrt(5x+7))

What is the first derivative of f(x)=sqrt(5x+7) ?

The first derivative of f(x)=sqrt(5x+7) is 5/(2sqrt(5x+7))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = 5 x + 7

\frac{5}{2 5 x + 7}

Solution steps

\frac{d}{d x} (5 x + 7)

Apply the chain rule:

\frac{1}{2 5 x + 7} \frac{d}{d x} (5 x + 7)

= \frac{1}{2 5 x + 7} \frac{d}{d x} (5 x + 7)

\frac{d}{d x} (5 x + 7) = 5

= \frac{1}{2 5 x + 7} \cdot 5

Simplify

\frac{1}{2 5 x + 7} \cdot 5 : \frac{5}{2 5 x + 7}

= \frac{5}{2 5 x + 7}

\frac{d}{d x} (\frac{1}{( 1 - 5 x ) ^{2}})

\frac{d}{d x} (30)

\frac{d}{d x} (2 sin (x) + 2 cos (x))

\frac{d}{d x} (lo g_{7} (x^{2} + 1))

(\frac{x ^{2} + 1}{x ^{2} - 1})^{^{'}}

What is the derivative of f(x)=sqrt(5x+7) ?
The derivative of f(x)=sqrt(5x+7) is 5/(2sqrt(5x+7))
What is the first derivative of f(x)=sqrt(5x+7) ?
The first derivative of f(x)=sqrt(5x+7) is 5/(2sqrt(5x+7))