Answer:
11
Step-by-step explanation:
Note that [tex]\frac{dy}{dx}[/tex] is the measure of the gradient at x = a
Differentiate each term using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]
Given
y = x³ - 4x² + 2 , then
[tex]\frac{dy}{dx}[/tex] = 3x² - 8x
x = - 1 : [tex]\frac{dy}{dx}[/tex] = 3(- 1)² - 8(- 1) = 3 + 8 = 11
