Question

Нужно найти f'(1), если f(x)=(4-5x^2)^11

Answer 1

f'(x) = 11*(4 - 5x)^10 * (-10x)= -110x * (4 - 5x)^10
f'(1) = -110*1*(4-5*1)^10 = -110*(-1)^10 = -110 *1 = -110