What is the correct conclusion about the function defined by f(x) = x^2 + x + 1 for x >= 1 and f(x) = 4x - 1 for x < 1? I - The function is not de...
What is the correct conclusion about the function defined by f(x) = x^2 + x + 1 for x >= 1 and f(x) = 4x - 1 for x < 1?
I - The function is not derivable at x = 1.
II - The function has a vertical tangent at x = 1.
III - The function has different lateral derivatives at x = 1.
a) Only I is correct.
b) Only II is correct.
c) Only III is correct.
d) I and III are correct.
e) I, II, and III are correct.
I - The function is not derivable at x = 1.
II - The function has a vertical tangent at x = 1.
III - The function has different lateral derivatives at x = 1.
a) Only I is correct.
b) Only II is correct.
c) Only III is correct.
d) I and III are correct.
e) I, II, and III are correct.
💡 1 Resposta
Ed 
A função definida por f(x) = x^2 + x + 1 para x >= 1 e f(x) = 4x - 1 para x < 1 tem as seguintes conclusões corretas: I - A função não é derivável em x = 1. III - A função possui derivadas laterais diferentes em x = 1. Portanto, a alternativa correta é a letra d) I e III são corretas.
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