Assignment:
Q1. Find all of the critical points and local maximums and minimums of each function
f(x)=2x2-12x+7
Q2. Find all critical points and localextremes of each function on the given intervals.
f(x)=X2-3x+5 on the entire real number line.
Q3. Find all critical points and local extremes of each function on the given intervals.
f(x)= 1/x2+1 on the entire real number line.
Q4. Verify that the hypotheses ofRolle’s Theorem are satisfied for each of the functionson the given intervals, and find the value ofthe number(s) “c” that Rolle’s Theorem promises.
F(x) =x2 on [-2, 2]
Q5. Verify that the hypotheses of theMean Value Theorem are satisfied for each of thefunctions on the given intervals, and find the number(s) “c” that the Mean Value Theorem guarantees.
f(x)=sin?(x)on [0, π/2]
Provide complete and step by step solution for the question and show calculations and use formulas.