Question

Найти производную функции y=x^5÷x^2-1

Answer 1

y ' = ((x^5)' * (x^2-1) -  (x^2-1)' * x^5)/(x^2-1)^2  =  (5x^4*(x^2-1) - 2x*x^5)/(x^2-1)^2 = 
= (5x^6 - 5x^4 - 2x^6)/(x^2-1)^2 = (3x^6-5x^4)/(x^2-1)^2