Question

Compute the derivative of the following function f(x)=3x^2 at x=2​

Answer 1

12

Explanation:

Differentiate using the power rule

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

Given

f(x) = 3x², then

f'(x) = 2 × 3 ×
`x^(2-1)` = 6x, thus

f'(2) = 6 × 2 = 12