Question

How to do number one

Answer 1

If the derivative of a function results in 3x - 4, then finding the primitive will give your function.


`\int {(3x - 4})\, dx = (3x^(2))/(2) - 4x + C`
Now, when x = -1,
`y = (13)/(2)`

Thus,
`(13)/(2) = (3(-1)^(2))/(2) - 4(-1) + C`

`(13)/(2) = (3)/(2) + 4 + C`

`(13)/(2) = (11)/(2) + C`

`C = (2)/(2) = 1`

Thus, our primitive becomes
`(3x^(2))/(2) - 4x + 1`