Question

найдите f'(-2) если f(x)= (3-2x)(2x+3)

Answer 1

$f(x)= (3-2x)(2x+3)=f(x)= -(2x-3)(2x+3)=-(4x^2-9)=-4x^2+9\\f'(x)=(-4x^2+9)'=-8x\\f'(-2)=-8cdot(-2)=16$