Question

Найдите производную функции f(x) = 100] x^{10} - x^{100} [/tex] в точках х и 1

Answer 1

$f(x)=100x^{10}-x^{100}\\\\f'(x)=100\cdot 10x^9-100x^{99}=1000x^9-100x^{99}\\\\f'(1)=1000\cdot 1^9-100\cdot 1^{99}=1000-100=900$