Good morning Brandon,
My limits work exactly as the video, so I’ll send you again limits and you reload and try it.
Thanks for sending me problems 8, 9, 10
One thing to remember in calculus is that you can never integrate or differentiate multiplication or division. if you see a times sign * or division sign / you have to use different rules, for instance problem 10a. To be correct there should be a times sign between the radical, in other words √(x)*(x^2+3). When you see a times sign it’s a product rule and when you see a divide sign like in 10b its a quotient rule problem. Noticing that then In my index8() menu you’d scroll down to either one of those (quotient or product rule) and enter the function given. Problem 9 you got correct but if you didn’t know you could have scrolled down to “equation of a line” in my menu you’d have the exact solution step by step. Problem 8 “definition of a derivative” equals the same as the “difference quotient” which I’ve put into my menu now if you’ll notice.I’ve seen either one used in tests. I’m going to attach the exact answer to problem 8 and see if I can’t program that for you. Notice that if you were’nt asked to use the definition of a derivative you see a divide sign so you could get the answer via the quotient rule in my programs entering (1)/(x-3). Always in your math future get used to using parenthesis around any function in a denominator. The bonus problem notice it isn’t really clear (without the use of parenthesis) of whether the problem is √(x^2+3*x+1) – x or √(x^2+3*x+1-x) which would equate down to √( x^2+2*x+1 ) to me (I might be wrong) you could maybe get some credit for trying it by doing this √ ( ∞^2 + 2*∞ + 1) = ∞ or in the other case
√ ( ∞^2 + 3*∞ + 1) – ∞ = – ∞
I don’t know whether your professor used delta x (∆x) or “h” in explaining the difference quotient or definition of a derivative formula
Send me all of your problems for quizzes or tests or practice tests I’ll help you, Thanks, Tom