Respuesta :
Answer:
7.
Step-by-step explanation:
y = 2x^2 - x + 4
The derivative y' = 2*2x^(2-1) - 1
= 4x - 1
At x = 2 y' = 4(2) - 1 = 7.
Answer:
7
Step-by-step explanation:
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex](a[tex]x^{n}[/tex]) = na[tex]x^{n-1}[/tex]
Given
y = 2x² - x + 4, then
[tex]\frac{dy}{dx}[/tex] = (2 × 2)x - 1 = 4x - 1
At x = 2 ⇒ [tex]\frac{dy}{dx}[/tex] = (4 × 2) - 1 = 8 - 1 = 7
