What is the derivative of 1-x/2 ?

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

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

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

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

- \frac{1}{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - \frac{1}{2}

Simplify

= - \frac{1}{2}

y^{^{''}} - 5 y^{^{'}} + 4 y = 0, y (0) = 6, y (1) = 3

n = 0 \sum \infty \frac{2 ^{n}}{n} x^{n}

\int sin (2 x) sec (x) d x

y = x^{10 c o s (x)}

y = 4 tan (x), at x = \frac{π}{6}