Question

Помогите найти производную
y'=(15x^4-4x^5)^101

Answer 1

y = (15x⁴ - 4x⁵)¹⁰¹

y' = ((15x⁴ - 4x⁵)¹⁰¹)'

g = 15x⁴ - 4x⁵

y' = (g¹⁰¹)' * (15x⁴ - 4x⁵)' = 101g¹⁰⁰ * (15 * 4x³ - 4 * 5x⁴) = 101(15x⁴ - 4x⁵)¹⁰⁰ =

= (6060x³ - 2020x⁴) * (15x⁴ - 4x⁵)¹⁰⁰