Question

How do you find the derivative of `1.5x^2-x+3.7`?

Answer 1

`f'(x) = 3x - 1`

Explanation:

Using the power rule, which is `f'(x) = nx^(n-1)` when `f(x) = x^n`,
we can determine the derivative:

`1.5x^2 - x + 3.7`
`2(1.5)x^1 - 1 x^0 + 0`
As a side note, constants become 0 whenever they are being derived. The above equation can be simplified to become:
`3x - 1`

This is our derivative.
Hope this helped!