Question

Для функции f(x)= 3x2-x вычислите f'(2)

Answer 1

Ответ:

Подставляешь x=2 в функцию  f(x)= 3x2-x

f'(2)=3*2*2-2

f'(2)=10

Пошаговое объяснение:

Answer 2

To find the derivative of the function f(x) = 3x^2 - x and then evaluate it at x = 2, we need to use the rules of differentiation. The derivative of a polynomial function is straightforward to find.

Step 1: Find the derivative f'(x) of the function f(x): f'(x) = d/dx (3x^2 - x) To find the derivative, we apply the power rule and the constant multiple rule: f'(x) = 2 * 3x^(2-1) - 1 * 1 = 6x - 1

Step 2: Evaluate f'(2): Now that we have the derivative, we can plug in x = 2: f'(2) = 6 * 2 - 1 = 12 - 1 = 11

So, the value of the derivative f'(2) for the function f(x) = 3x^2 - x at x = 2 is 11.