Answer:
gradient = 9
Step-by-step explanation:
Note that [tex]\frac{dy}{dx}[/tex] is a measure of the gradient.
Differentiate y using the power rule
[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex]) = na[tex]x^{n-1}[/tex]
Given
y = x² + 5x - 3, then
[tex]\frac{dy}{dx}[/tex] = 2x + 5
x = 2 : [tex]\frac{dy}{dx}[/tex] = 2(2) + 5 = 4 + 5 = 9 ← gradient
