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

The first derivative of x-1/2 is 1

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derivative of x-1/2

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

1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} (\frac{1}{2}) = 0

= 1 - 0

Simplify

= 1

\frac{d}{d x} (\frac{2 - x ^{3}}{2 + x ^{3}})

\int_{1}^{4} 2 π x (- \frac{3}{2} x + 6) d x

f (x) = x^{3} (2 x - 1)

x \to 0 + lim (\frac{sin ( x )}{x ^{\frac{1}{2}}})

y^{^{'}} = y (x y^{6} + 4)