What is the derivative of 2-x/4 ?

The derivative of 2-x/4 is -1/4

What is the first derivative of 2-x/4 ?

The first derivative of 2-x/4 is -1/4

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\frac{d}{d x} (2 - \frac{x}{4})

- \frac{1}{4}

Solution steps

\frac{d}{d x} (2 - \frac{x}{4})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2) - \frac{d}{d x} (\frac{x}{4})

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

\frac{d}{d x} (\frac{x}{4}) = \frac{1}{4}

= 0 - \frac{1}{4}

Simplify

= - \frac{1}{4}

\int_{1}^{2} \frac{4}{( x - 1 ) ^{\frac{1}{4}}} d x

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

x \to 3 + lim (\frac{3 x}{x - 3})

x \to 1 lim (\frac{x ^{m} - 1}{x - 1})

f (x) = \frac{x ^{2}}{x - 3}, at x = 0