# Math Help - derivative true false

1. ## derivative true false

derivative true or false explain why if false

if y = x / (pi) , then dy/dx = 1 / (pi)

i have no idea how to prove this? any help

2. power rule

$
\frac{d}{dx}\left(x^n\right) = nx^{n-1}
$

$y= \frac{x}{\pi}$

can be rewritten as

$
f(x) = \frac{1}{\pi}x$
so $f'(x) = \frac{1}{\pi}x^0 = \frac{1}{\pi}$

3. Originally Posted by maybnxtseasn
derivative true or false explain why if false

if y = x / (pi) , then dy/dx = 1 / (pi)

i have no idea how to prove this? any help
Actually, while the "power law" is one of the most important laws for differentiation, here I think it is "overkill".

One of the first things you should have learned about the derivative is that the derivative of a linear function is just its slope.

(Most people learn the derivative as "slope of the tangent line" and if the graph is itself a line, it is its own "tangent line".)