Question

How do you find the derivative of `f(x)=2-5x`?

Answer 1

-5

Explanation:

When taking derivatives, you can ignore constants without an `x`. When there is an `x` raised to the first power, then the derivative is just the coefficient in front.

Check out the power rule for more detail:

https://www.khanacademy.org/math/ap-calculus-ab/basic-differentiation-ab/power-rule-ab/v/power-rule

Answer 2

`-5`

Explanation:

Using the power rule:

`f(x)=x^n -> f'(x)=nxxx^(n-1)`

`d/dx (2-5x)`

`=d/dx(2^1-5x^1)`

Anything without an `x` will always give `0` when deriving.

`-> -5`