Question

Как найти производную функцию y = x²-x в точке=0,5

Answer 1

Ответ:

0

Объяснение:

производная = у штрих от х =2х-1  (по правилам нахождения производной)

подставляем вместо х 0,5 и находим ее значение

у штрих (0,5) = 2*0,5-1 = 0

Answer 2

Finding the Derivative of y = x² - x at x = 0.5

To find the derivative of the function y = x² - x at the point x = 0.5, we can use the first principles of differentiation. The first principles state that the derivative of a function f(x) at a point x is given by the limit of the difference quotient as h approaches 0.

The formula for the first principles of differentiation is: f'(x) = lim(h->0) [f(x + h) - f(x)] / h

Substituting the given function y = x² - x into the formula, we get: f'(x) = lim(h->0) [(x + h)² - (x + h) - (x² - x)] / h

Simplifying this expression will give us the derivative of the function y = x² - x at the point x = 0.5.

Let's calculate the derivative using the first principles of differentiation.