What is the derivative of ((pi x) / 3) ?

1 Answer
Sep 12, 2016

pi/3

Explanation:

We will use the rule: d/dx(cx)=cd/dx(x)=c

In other words, the derivative of 5x is 5, the derivative of -99x is -99, and the derivative of 5/7x is 5/7.

The given function (pix)/3 is the same: it's the constant pi/3 multiplied by the variable x.

Thus, d/dx((pix)/3)=pi/3d/dx(x)=pi/3.