Question

Дана функция y=√x , найти y'(9)выбрать один ответ:-1/61/661/18

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To find the derivative of the function y = √x and then evaluate it at x = 9, we can use the power rule for differentiation. The power rule states that if we have a function of the form y = x^n, then its derivative is given by y' = n*x^(n-1).

In this case, y = √x can be written as y = x^(1/2).

Now, applying the power rule, the derivative of y with respect to x (y') is:

y' = (1/2) * x^(1/2 - 1) = (1/2) * x^(-1/2).

Now, we need to find y'(9), which means we evaluate the derivative at x = 9:

y'(9) = (1/2) * 9^(-1/2) = (1/2) * (1/√9) = (1/2) * (1/3) = 1/6.

So, the correct answer is: y'(9) = 1/6.