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

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

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

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

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derivative of

f (x) = 2 x + 1

\frac{1}{x}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (1) = 0

= \frac{1}{x} + 0

Simplify

= \frac{1}{x}

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