What is the first derivative of x/2-1 ?

The first derivative of x/2-1 is 1/2

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derivative of x/2-1

derivative of

\frac{x}{2} - 1

\frac{1}{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{1}{2} - 0

Simplify

= \frac{1}{2}

\frac{\partial}{\partial x} (4 - ∣ x ∣ - ∣ y ∣)

4 x e^{- x}

\int \frac{x ^{3} - 3 x + 1}{y + y} d x

\int (4 e^{- 0.8 x}) d x

\frac{d x}{d t} = e^{- k t}