Question

Determine a equação da reta tangente em ( 1, f (1) ) da função f(x)=x^2-x

Answer 1

$f(x)=x^2-x\\\\f(1)=0\\\\f'(x)=2x-1\\\\f'(1)=1\\\\\\y-y_0=f'(x)(x-x_0)\\\\y-0=1(x-1)\\\\y=x-1$