What is the derivative of f(x)=sqrt(x+3) ?

The derivative of f(x)=sqrt(x+3) is 1/(2sqrt(x+3))

What is the first derivative of f(x)=sqrt(x+3) ?

The first derivative of f(x)=sqrt(x+3) is 1/(2sqrt(x+3))

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derivative of

f (x) = x + 3

\frac{1}{2 x + 3}

Solution steps

\frac{d}{d x} (x + 3)

Apply the chain rule:

\frac{1}{2 x + 3} \frac{d}{d x} (x + 3)

= \frac{1}{2 x + 3} \frac{d}{d x} (x + 3)

\frac{d}{d x} (x + 3) = 1

= \frac{1}{2 x + 3} \cdot 1

Simplify

= \frac{1}{2 x + 3}

f (x) = x, at x = 9

x^{2} - 4 x + 5

y = 2 x + 5

x (x - 4)^{3}

f (x) = \frac{1}{x ^{2}}, at x = 2

What is the derivative of f(x)=sqrt(x+3) ?
The derivative of f(x)=sqrt(x+3) is 1/(2sqrt(x+3))
What is the first derivative of f(x)=sqrt(x+3) ?
The first derivative of f(x)=sqrt(x+3) is 1/(2sqrt(x+3))