What is the derivative of f(x)=x+sqrt(x)+5 ?

The derivative of f(x)=x+sqrt(x)+5 is 1/(2sqrt(x))+1

What is the first derivative of f(x)=x+sqrt(x)+5 ?

The first derivative of f(x)=x+sqrt(x)+5 is 1/(2sqrt(x))+1

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derivative of

f (x) = x + x + 5

\frac{1}{2 x} + 1

Solution steps

\frac{d}{d x} (x + x + 5)

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} (5)

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

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

\frac{d}{d x} (5) = 0

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

Simplify

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

\frac{d}{d x} (6^{- 2 x})

\int ((x^{2} + 2 x) cos (x)) d x

d er i v a t i v e f (x) = 4 lo g_{6} (2)

t an g e n t f (x) = \frac{1}{2 x}, at x = 65

\frac{d}{d x} (\frac{x}{( x ^{2} - 1 ) ^{2}})

What is the derivative of f(x)=x+sqrt(x)+5 ?
The derivative of f(x)=x+sqrt(x)+5 is 1/(2sqrt(x))+1
What is the first derivative of f(x)=x+sqrt(x)+5 ?
The first derivative of f(x)=x+sqrt(x)+5 is 1/(2sqrt(x))+1