Bascal

• The rate of change of a function f(x) with respect to a variable is called derivative.
• The process of finding a function's derivative is differentiation
• 0/0 or indeterminate is discontinuous-removable
• c/0 or undefined is discontinuous-essential
• If open circle, discontinuous. If closed circle, continuous
• Parentheses, the number belongs. Bracket, the number does not belong
• Always turn the negative exponent to a fraction
• Product rule - uv' + vu'
• Quotient rule - vu' - uv'/v^2
• Ex. 11x^4 and 1/2, what I have to do is separate 4 and 1/2 so the answer would be 11x^4 and square root of x
• Ex. x^4/11, 1/11 (4x^3), multiply (4x^3) to the numerator, then (4x^3)/11
• Ex. 11/x^2, turn into exponential form, 11x^-2
• Ex. square root of x, then x^1/2
• Ex. 2/3 (x^4)^-4 (2), then 2(2)/3(x^4)^4
• Ex. x^1/2, you can turn it into square root of x