Determine the truth values of the following statements

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Determine the truth values of the following statements. Statement I: The function

f(x)=(x^3+3x-4)(x^2+4x-5)

has a local extremum at

x=1

. Statement II:

f(x)

is continuous and differentiable, and

f'(1)=0