Question

Найдите производную функции y=x-1/x рассчитать

Answer 1

Решение данного задания

Answer 2

Calculation of the Derivative

To find the derivative of the function y = x - 1/x, we can use the rules of differentiation. Let's break down the steps:

1. Rewrite the function as y = x - 1 * x^(-1). 2. Apply the power rule for differentiation: (x^n)' = n * x^(n-1).

Applying the power rule, we can differentiate each term separately:

- Differentiating the term x gives us 1. - Differentiating the term -1 * x^(-1) gives us -1 * (-1) * x^(-1-1) = x^(-2).

Therefore, the derivative of the function y = x - 1/x is:

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

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