I am studying for a Calculus test and have the answers for the study guide but I'm having trouble with problems 2, 3, 4 (finding
maximums and minimums for each) as well as #9 (computing the limit). The answers are written next to each question.
1 answer:
#2) Use quotient rule
Remember for solving log equations:
#3) Derivative of tan = sec^2 = 1/cos^2
Domain of tan is [-pi/2, pi/2], only consider x values in that domain.
#4 Use Quotient rule
#9 Use double angle identity for tan
This way you can rewrite tan(pi/2) in terms of tan(pi/4).
Next use L'hopitals rule, which says the limit of indeterminate form(0/0) equals limit of quotient of derivatives of top/bottom of fraction.
Take derivative of both top part and bottom part separately, then reevaluate the limit. <span />
Remember for solving log equations:
#3) Derivative of tan = sec^2 = 1/cos^2
Domain of tan is [-pi/2, pi/2], only consider x values in that domain.
#4 Use Quotient rule
#9 Use double angle identity for tan
This way you can rewrite tan(pi/2) in terms of tan(pi/4).
Next use L'hopitals rule, which says the limit of indeterminate form(0/0) equals limit of quotient of derivatives of top/bottom of fraction.
Take derivative of both top part and bottom part separately, then reevaluate the limit. <span />
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Answer:
Step-by-step explanation:
There is really no way to show that of I know of without drawing it but here is this. I hope this helps and not really exact on position but that is very close.
