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What is the Second derivative of lnx2?
d/dx(lnx2) = 2/x ===== d/dx2(2/x) use product rule 2'*x - 2 *x'/x2 = - 2/x2 -----------
Successive use of a rule is called?
iteration
When you have two parametric equations what's the name of the rule you can use to work out dy by dx?
The chain rule.
How do you get the second derivative of g of x equals xcscx where x equals theta?
T=theta so that it will not look so messy. g(T)=TcscT To find the first derivative, you must use the product rule. Product rule is derivative of the first times the second, plus the first times the derivative of the second, which will give you: g'(T)=0xcscT + Tx-cscTcotT, which simplifies: g'(T)= -cscTxcotT Now, take the derivative of that to get the second derivatice. In order to do that, you have to do the product rule again. g"(T)=(cscTcotT)cotT + -cscT(-csc^2T) {that's csc squared} which simplifies: g"(T)= cscTcot^2(T) + csc^3 (T)
What are the two rules for deciding the number of significant digits in an answer to a calculation?
The first rule is to count all the digits from the beginning of the number until the first uncertain digit. The second rule is to round the final answer to match the least precise measurement used in the calculation.
