# What is the derivative of pi(x)?

Aug 4, 2016

$\pi$

#### Explanation:

Don't let the symbol $\pi$ confuse you. Remember that $\pi$ is just a number, roughly equivalent to $3.14$. If it helps, replace $\pi$ with $3.14$, to remind you that you're really taking the derivative of $3.14 x$.

Recall that the derivative of a constant times $x$ is the constant; this is because something like $\pi x$ is a linear equation with constant slope. And since derivative is slope, a linear equation has a constant (i.e. numerical) derivative.

You can also find the result using the power rule:
$\frac{d}{\mathrm{dx}} \pi {x}^{1}$
$= 1 \cdot \pi {x}^{1 - 1}$
$= \pi {x}^{0}$
$= \pi \to$ any number (except 0) to the zero power is $1$

Aug 4, 2016

$\pi ' \left(x\right)$

#### Explanation:

unless $\pi \left(x\right)$ is a function in which case, hilarious

and, well, ...

$\frac{d}{\mathrm{dx}} \pi \left(x\right) = \pi ' \left(x\right) = \frac{d}{\mathrm{dx}} \pi \left(x\right)$