Question

Find the dy/dx
y= 3x²+5x-6​

Answer 1

This process is called differentiation. To solve for the
`(dy)/(dx)` of an equation, the general formula is
`ax^(a-1)`. The notation could also be written as
`y'` or
`f'(x)`. Let's solve the equation here.

`y = 3x^(2) + 5x - 6\\y' = (2 * 3x^(2-1)) + (1 * 5x^(1-1)) - 0\\y' = 6x^(1) + 5x^(0) - 0\\y' = 6x + 5`

Note that the derivate
`y'` of a constant (e.g.,
`5, 8, -1, 4, 0.33`) is
`0`