Question

Найдите производную f(x)=2^3x +x^5 + e^-x2

Answer 1

$f(x) = {2}^{3x} + {x}^{5} + {e}^{ - {x}^{2} } \\ f ^{ l} (x) = {2}^{3x} ln(2) \times 3 + 5{x}^{4} + {e}^{ - {x}^{2} } \times ( - 2x) = \\ = f ^{ l} (x) = 3 \times {2}^{3x} ln(2) + 5{x}^{4} - 2x {e}^{ - {x}^{2} }$