This week started off a little confusing because we were trying to learn the chain rule which cause me a little problems. I do understand how it works now and it is pretty easy. When you solve for the chain rule: you take the derivative of the outside, then derivative of the outside then recopy the inside, multiply by derivative inside.
d/dx f(g(x)) = f'(g(x)) X g'(x). When using the chain rule you still may have to use the product or quotient rule. product rule:(recopy first equation)(derivative of the second equation)-(recopy second equation)(derivative of first equation)
quotient rule:(bottom)(top derivative)-[(top)(bottom derivative)]/bottom equation squared
You will need these formulas and know some of the identities for the exam tomorrow. Remember that if the question says find the rules of differenation to find the derivative of the function x^4 +9x^5. All you have to do is find the derivative and because we learned the shortcut method, this is a very easy problem. The answer you get is 4x^3+45x^4. NOW STUDY FOR THE EXAM!!!!!!!!!!!!!!!!!!!!!
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