Question

Find the gradient of the curve y=x^2 + 5x-3 at the point x= 2.
please help.
​

Answer 1

gradient = 9

Explanation:

Note that
`(dy)/(dx)` is a measure of the gradient.

Differentiate y using the power rule

`(d)/(dx)` (a
`x^(n)`) = na
`x^(n-1)`

Given

y = x² + 5x - 3, then

`(dy)/(dx)` = 2x + 5

x = 2 :
`(dy)/(dx)` = 2(2) + 5 = 4 + 5 = 9 ← gradient