Question

HELP ME!Найдите производную функцииf(x)=x+3/x-1

Answer 1

Решение
f(x)=x+3/x-1
f`(x) = [(x + 3)` * (x - 1) - (x - 1)` * (x + 3)] / (x - 1)² = 
= (x - 1 - x - 3)/(x-1)² = - 4/(x - 1)²

Answer 2

Derivative of f(x) = x + 3/x - 1

To find the derivative of the function f(x) = x + 3/x - 1, we can use the rules of differentiation. The function can be rewritten as f(x) = x + 3x^(-1) - 1. Then, we can find the derivative using the power rule and the constant multiple rule.

The derivative of f(x) with respect to x is given by:

f'(x) = 1 + (-3)x^(-2)

This simplifies to:

f'(x) = 1 - 3/x^2

This is the derivative of the given function f(x) = x + 3/x - 1.