Question

Вычислите f'(pi/6) если f(x)=1,5x2-pix/2+5-4cosx

Answer 1

$f(x)=1,5x^2-frac{pi x}2+5-cos x\f'(x)=3x-fracpi2+sin x\f'(fracpi6)=3cdotfracpi6-fracpi2+sinfracpi6=fracpi2-fracpi2+frac12=frac12$