Question

найдите f штрих(4),если f(х)=(х-5)^14

Answer 1

$f(x)=(x-5)^{14}\\\\f'(x)=14\cdot (x-5)^{13}\\\\f'(4)=14\cdot (4-5)^{13}=14\cdot (-1)^{13}=-14$