What is the derivative of f(x)=sqrt(1+x) ?

The derivative of f(x)=sqrt(1+x) is 1/(2sqrt(1+x))

What is the first derivative of f(x)=sqrt(1+x) ?

The first derivative of f(x)=sqrt(1+x) is 1/(2sqrt(1+x))

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derivative of

f (x) = 1 + x

\frac{1}{2 1 + x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int \frac{\frac{π}{6}}{0} sin (x) cos^{3} (x) d x

in v erse l a pl a ce \frac{1}{s ^{2}}

\int - \frac{2000}{x ^{2}} d x

x \to \infty lim (- \frac{1}{2 x})

\frac{d}{d x} (3 e^{- 7 x})

What is the derivative of f(x)=sqrt(1+x) ?
The derivative of f(x)=sqrt(1+x) is 1/(2sqrt(1+x))
What is the first derivative of f(x)=sqrt(1+x) ?
The first derivative of f(x)=sqrt(1+x) is 1/(2sqrt(1+x))