Question

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

Answer 1

Answer:

- 8

Step-by-step explanation:

Note that $\frac{dy}{dx}$ is the slope of the tangent at x = a

Differentiate using the power rule

$\frac{d}{dx}$ (a$x^{n}$ ) = na$x^{n-1}$

Given

y = 3x² - 2x + 5, then

$\frac{dy}{dx}$ = 6x - 2

x = - 1 : $\frac{dy}{dx}$ = 6(- 1) - 2 = - 6 - 2 = - 8