Question

Помогите найти производную y=(x-5)^4*(x-3)^5

Answer 1

y'=((x-5)^4)'*(x-3)^5+(x-5)^4*((x-3)^5)'=4(x-5)^3*(x-3)^5+(x-5)^4*5(x-3)^4=(x-5)^3*(x-3)^4*(4(x-3)+5(x-5))=(x-5)^3*(x-3)^4*(9x-37)