What is the derivative of f(x)= 1/2 x-1/3 ?

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

What is the first derivative of f(x)= 1/2 x-1/3 ?

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

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derivative of

f (x) = \frac{1}{2} x - \frac{1}{3}

\frac{1}{2}

Solution steps

\frac{d}{d x} (\frac{1}{2} x - \frac{1}{3})

Simplify

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

= \frac{d}{d x} (\frac{x}{2} - \frac{1}{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x}{2}) - \frac{d}{d x} (\frac{1}{3})

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

\frac{d}{d x} (\frac{1}{3}) = 0

= \frac{1}{2} - 0

Simplify

= \frac{1}{2}

\frac{470 t}{( t ^{2} + 6 ) ^{3}}

y^{^{''}} - 6 y^{^{'}} + 8 y = - 4 e^{3 t}

\frac{\partial ^{2}}{\partial y ^{2}} (2 cos (x y^{2}))

f (x) = 4 x^{2} - 5 x, at x = - 3

\frac{\partial}{\partial x} (x^{2} ln (y - 1))

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