What is the derivative of f(x)=sqrt(2+x) ?

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

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

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

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derivative of

f (x) = 2 + x

\frac{1}{2 2 + x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int e^{- 5 x^{2}} d x

\frac{\partial}{\partial x} (1 - \frac{x}{y})

\int_{1}^{2} x e^{2 x^{2} - 3} d x

\int_{0}^{π} 10 t sin (3 t) d t

x \to \infty lim (\frac{x \cdot ( x + 1 ) ^{x + 1}}{( x + 1 ) ^{x + 2}})

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