Answer:
- 8
Step-by-step explanation:
Note that [tex]\frac{dy}{dx}[/tex] is the slope of the tangent at x = a
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = 3x² - 2x + 5, then
[tex]\frac{dy}{dx}[/tex] = 6x - 2
x = - 1 : [tex]\frac{dy}{dx}[/tex] = 6(- 1) - 2 = - 6 - 2 = - 8
