Question

Find the derivative of y = 2(x^2) - x + 4 at x = 2​

Answer 1

7

Explanation:

Differentiate using the power rule

`(d)/(dx)`(a
`x^(n)`) = na
`x^(n-1)`

Given

y = 2x² - x + 4, then

`(dy)/(dx)` = (2 × 2)x - 1 = 4x - 1

At x = 2 ⇒
`(dy)/(dx)` = (4 × 2) - 1 = 8 - 1 = 7

Answer 2

7.

Explanation:

y = 2x^2 - x + 4

The derivative y' = 2*2x^(2-1) - 1

= 4x - 1

At x = 2 y' = 4(2) - 1 = 7.