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))

in v erse l a pl a ce \frac{- s - 2}{s ^{2} + s + 16}

in v erse l a pl a ce e^{- 2 s} \cdot \frac{1}{s}

\int \frac{x ^{10} + 1 0 ^{x}}{10} d x

\frac{d}{d x} (\frac{5 x}{x ^{2} + 7})

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