Cálculo de derivadas usando a definição
PROBLEMA 8 : Use a definição de derivada via limite para calcular a derivada f'(x), para
.
SOLUTION:
(Eliminate the square root terms in the numerator of the expression by multiplying by the conjugate
of the numerator divided by itself.)
(Algebraically and arithmetically simplify the expression in the numerator. It is important to note
that the denominator of this expression should be left in factored form so that the term
can be
easily eliminated later.)
(Factor
(The term
from the numerator.)
now divides out and the limit can be calculated.)