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Chain rule is a differentiation technique which can be used in either implicit or explicit differentiation, depending upon the problem. On the other hand, implicit differentiation is a differentiation technique, which is used when all x's and y's are on the same side. Example: x squared + y squared = 4xy, in this case, you use implicit differentiation to actually differentiate the equation, and you use the chain rule to differentiate 4xy.
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How do you deal with differentiation in Calculus?
You learn the rules for differentiating polynomials, products, quotients, etc. Then you learn the chain rule and a couple of other rules and you're good to go for the basics. You can check your results by learning to use wolframalpha.com.
Why do you use chain rule?
Chain Rule You can use the chain rule to find the derivative of the composite of two functions--the derivative of the "outside" function multiplied by the derivative of the "inside" function. The chain rule is related to the product rule and the quotient rule, which gives the derivative of the quotient of two functions.If you want example problems about the chain rule you should check out the related links!Hope this answers your question!
Integration of cos2x?
Using chain rule:integral of cos2x dx= 1/2 * sin2x + C
What did the calculus teacher say to her nervous students before the quiz on the chain rule?
compose yourselves!
What is the derivative of ln x to the power of 2?
If the function is (ln x)2, then the chain rules gives us the derivative 2ln(x)/x, with the x in the denominator. If the function is ln (x2), then the chain rule gives us the derivative 2/x.
