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

1 Answer
mason m
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#.

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