What is the derivative of sqrt(x)-1/3 x ?

The derivative of sqrt(x)-1/3 x is 1/(2sqrt(x))-1/3

What is the first derivative of sqrt(x)-1/3 x ?

The first derivative of sqrt(x)-1/3 x is 1/(2sqrt(x))-1/3

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\frac{d}{d x} (x - \frac{1}{3} x)

\frac{1}{2 x} - \frac{1}{3}

Solution steps

\frac{d}{d x} (x - \frac{1}{3} x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x) - \frac{d}{d x} (\frac{1}{3} x)

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

\frac{d}{d x} (\frac{1}{3} x) = \frac{1}{3}

= \frac{1}{2 x} - \frac{1}{3}

\frac{\partial}{\partial x} (x e^{6 y} sin (5 z))

\frac{- s - 2}{s ^{2} + s + 16}

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

\frac{d}{d x} (sin (e^{x^{4} c o s (x)}))

e^{- 2 s} \cdot \frac{1}{s}

What is the derivative of sqrt(x)-1/3 x ?
The derivative of sqrt(x)-1/3 x is 1/(2sqrt(x))-1/3
What is the first derivative of sqrt(x)-1/3 x ?
The first derivative of sqrt(x)-1/3 x is 1/(2sqrt(x))-1/3