en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of f(x)=sqrt(2+\sqrt{7x)}

Solution

derivative of

f (x) = 2 + 7 x

Solution

\frac{7}{4 x 2 + 7 x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

\frac{1}{2 2 + 7 x} \cdot \frac{7}{2 x} : \frac{7}{4 x 2 + 7 x}

= \frac{7}{4 x 2 + 7 x}

Popular Examples

inverse oflaplace 8/((s+1)^2)inverse laplace

\frac{8}{( s + 1 ) ^{2}}

(d^2x)/(dt^2)+(dx)/(dt)+x=0.5sin(2t)

\frac{d ^{2} x}{d t ^{2}} + \frac{d x}{d t} + x = 0.5 sin (2 t)

integral of 1/(sqrt(x^2-25))

\int \frac{1}{x ^{2} - 25} d x

integral of (3/(x^2))

\int (\frac{3}{x ^{2}}) d x

integral of 2/3 x^2ln(x)

\int \frac{2}{3} x^{2} ln (x) d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt(2+\sqrt{7x)} ?
The derivative of f(x)=sqrt(2+\sqrt{7x)} is (sqrt(7))/(4sqrt(x)\sqrt{2+\sqrt{7)sqrt(x)}}
What is the first derivative of f(x)=sqrt(2+\sqrt{7x)} ?
The first derivative of f(x)=sqrt(2+\sqrt{7x)} is (sqrt(7))/(4sqrt(x)\sqrt{2+\sqrt{7)sqrt(x)}}