Question

As derivadas da função f(x)=x²-2x

Answer 1

$f(x)=x^{n}~~~~~~~~~~~~~~~~~~\therefore~~~~~~~~~f'(x)=n\cdot x^{n-1}\\ f(x)=g(x)-h(x)~~~~~~\therefore~~~~~~~~~f'(x)=g'(x)-h'(x)$
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$f(x)=x^{2}-2x\\f'(x)=2x^{2-1}-1\cdot2x^{1-1}\\f'(x)=2x^{1}-1\cdot2^{0}\\\\\boxed{\boxed{f'(x)=2x-2}}$