Analytical Applications of Differentiation Practice Opal Q1: If f(x) = $x^{2}$ - 4x, what is $f'(x)$?

Analytical Applications of Differentiation Practice Opal Q2: Evaluate lim as x approaches 3 of ($x^{2}$ - 9)/(x - 3).

Analytical Applications of Differentiation Practice Opal Q3: What is integral from 0 to 2 of 3x dx?

Analytical Applications of Differentiation Practice Opal Q4: If dy/dx = 2y and y = 3 when x = 0, which function solves the differential equation?

Analytical Applications of Differentiation Practice Opal Q5: Does the series sum of 1/$n^{2}$ from n = 1 to infinity converge or diverge?

Analytical Applications of Differentiation Practice Opal Q5: Does the series sum of 1/$n^{2}$ from n = 1 to infinity converge or diverge? Extension 6: include one additional justification step.