Question

What is the derivative of `pi`?

Answer 1

`0`; Derivative of a constant is always `0`

Explanation:

The derivative of a constant term is always zero. Reason being, we take derivatives with respect to a variable.

We understand derivatives to be the slope of the tangent line, or our instantaneous rate of change. Take the following derivative:

`d/dx[2x+8]=2`

This expression that we're taking the derivative of is in slope-intercept form (`y=mx+b`), where `m` is the slope. In our case, the slope is `2`, so the derivative is `2`.

Remember, `d/dx` means we're taking the derivative with respect to `x`, or how much `y` changes with respect to `x`. `pi` is just a constant, meaning it doesn't change with respect to a variable . It will graph as a horizontal line, just like `2, 8,`and `11` will. As we know, slopes of horizontal lines are `0`, so the derivative of a constant, like `pi`, will always be zero.