Is this correct now? I was supposed to use chain rule?Your dy/dx is wrong. Try again.
Also, do not use x as both a variable and a times symbol.
That is fine. I would have used the general power rule to find the derivative of (1+x2)1/2 which is much simpler than using the chain rule. I almost always use the general power rule over the chain rule.Is this correct now? I was supposed to use chain rule?
I thought I used the general power rule, and it turned out to be wrong. Can please tell me how to use the general power rule in this?That is fine. I would have used the general power rule to find the derivative of (1+x2)1/2 which is much simpler than using the chain rule. I almost always use the general power rule over the chain rule.
StevenThat is fine. I would have used the general power rule to find the derivative of (1+x2)1/2 which is much simpler than using the chain rule. I almost always use the general power rule over the chain rule.
I explicitly agree with you. The modified power rule (as stated by Steven - response #6) used chain-rule. It is just a matter of semantics - call it whatever -as long as it is applied correctly!!Steven
I do not understand how to solve this problem without using the chain rule explicitly or implicitly.
Jeff,Steven
I do not understand how to solve this problem without using the chain rule explicitly or implicitly.
Subhotosh, I think it is called the general power rule. I never heard of it being called the modified power rule. Who knows, maybe you are also correct.I explicitly agree with you. The modified power rule (as stated by Steven - response #6) used chain-rule. It is just a matter of semantics - call it whatever -as long as it is applied correctly!!
Got it. I call that technique u-substitution.Jeff,
I understand what you are saying. I only say that I am using the chain rule when I formally call something u like the OP did the 2nd time.