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Calculus Main Topics
Single Variable Calculus
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Are You Ready For Calculus 2?
So, you finished calculus 1. Congratulations! Do you think you are ready for calculus 2? Let's find out. Here are some practice problems from calculus 1 that use techniques that you need for calculus 2. Calculus 2 is the hardest of the three calculus courses and your calculus 1 skills need to be sharp. So here are some problems to help you determine if you are ready.
Here are the main topics you need for calculus 2.
1. basic limits
2. finite limits
3. infinite limits
1. basic power and trig rules
2. product rule
3. quotient rule
4. chain rule
5.maxima and minima
6.equations of tangent lines
1. basic integration
2. integration of basic trig functions
3. integration by substitution
4. area between curves
It also helps to go through implicit differentiation and logarithmic differentiation to practice the product rule and the chain rule. The chain rule is the single most important and most used rule of all of the derivative rules. Integration by substitution is the single most important and most used rule of all the integration rules.
Okay, let's get started with some practice problems.
For explanation of this technique and more practice problems, go to the 17calculus implicit differentiation page.
Instructions - Unless otherwise instructed, calculate \(dy/dx\) by implicit differentiation. Give your answers in simplified, completely factored form.