What is the derivative of sqrt(x)-x ?

The derivative of sqrt(x)-x is 1/(2sqrt(x))-1

What is the first derivative of sqrt(x)-x ?

The first derivative of sqrt(x)-x is 1/(2sqrt(x))-1

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\frac{d}{d x} (x - x)

\frac{1}{2 x} - 1

Solution steps

\frac{d}{d x} (x - x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x) - \frac{d x}{d x}

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

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

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

\frac{d ^{3}}{d x ^{3}} (e^{2 x})

x \to 0 lim (\frac{1 - x}{x ^{2}})

y^{^{''}} + 4 y = 20

\int 5 x - x d x

\frac{\partial}{\partial x} (4 x^{2} + 2 y^{2})

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