Question

Find the slope of the tangent to the curve below at (-1,10)

Answer 1

- 8

Explanation:

Note that
`(dy)/(dx)` is the slope of the tangent at x = a

Differentiate using the power rule

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

Given

y = 3x² - 2x + 5, then

`(dy)/(dx)` = 6x - 2

x = - 1 :
`(dy)/(dx)` = 6(- 1) - 2 = - 6 - 2 = - 8