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

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

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

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

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derivative of

f (x) = x^{2} - x + 2

2 x - \frac{1}{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) - \frac{d}{d x} (x) + \frac{d}{d x} (2)

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

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

\frac{d}{d x} (2) = 0

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

Simplify

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

\frac{d y}{d x} y = x^{- 12}

\frac{\partial}{\partial y} (x^{2} y + e^{x y})

\frac{d}{d x} (x + 6)

\int 3 cos^{5} (x) sin^{4} (x) d x

\int \frac{4 x}{2 x ^{2} + 1} d x

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