What is the derivative of $x/2$ ?

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Answer 1 · 2016-02-11T15:59:44

$1/2$

Just like the derivative of $5x$ is $5$ , we can write $x/2$ as $1/2x$ . The derivative of $1/2x$ is $1/2$ .

We can show this since, when differentiating, constants can be brought outside the differentiation.

Where $k$ is a constant, $d/dx(kx)=k*d/dx(x)=k(1)=k$ .

Thus, $d/dx(1/2x)=1/2*d/dx(x)=1/2(1)=1/2$ .

What is the derivative of x/2x/2?