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

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

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

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

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derivative of

f (x) = x + x + 1

\frac{1}{2 x} + 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

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

= 1 + \frac{1}{2 x} + 0

Simplify

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

\frac{d}{d x} (- λ x)

x \to 0 lim (\frac{x + sin ( x )}{x})

e^{\frac{5}{x}}

\frac{\partial}{\partial x} ((y - x)^{2})

\frac{2}{x}, 8 x, \frac{1}{8} x

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