What is the correct conclusion about the existence of the derivative of the function f(x) = x^2 + x + 1 for x = 1?

I - The right-hand derivative o...

Question

What is the correct conclusion about the existence of the derivative of the function f(x) = x^2 + x + 1 for x = 1?

I - The right-hand derivative of f(x) at x = 1 is 3.
II - The left-hand derivative of f(x) at x = 1 is 4.
III - The derivative of f(x) at x = 1 does not exist.
a) Only I is correct.
b) Only II is correct.
c) Only III is correct.
d) I and II are correct.
e) II and III are correct.

Ed · Answer

A conclusão correta sobre a existência da derivada da função f(x) = x^2 + x + 1 para x = 1 é que a alternativa c) Only III is correct (Apenas III está correta). A derivada de f(x) no ponto x = 1 não existe.

What is the correct conclusion about the existence of the derivative of the function f(x) = x^2 + x + 1 for x = 1? I - The right-hand derivative o...

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