Question

y=(1+x^2)^5 найдите производную сложной функции

Answer 1

$y' = ((1 + {x}^{2})^{5} )' = 5(1 + {x}^{2} )^{5 - 1} \times (1 + {x}^{2}) ' = 5(1 + {x}^{2} )^{4} \times 2x = 10x(1 + {x}^{2} )^{4}$