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/sci/ - Science & Math

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2602694 No.2602694 [Reply] [Original]

Hey /sci/ what does d^2y/(dx^2) imply? I'm studying differential and the derivatives but I've got a question here that asks for the d^2y/(dx^2); y=xsinx which is kinda new to me.

How do I solve this? You don't have to solve it entirely for me but if you guys could be of help and teach me that will really be appreciated.

>> No.2602704

second derivative

>> No.2602707

It means that you differentiate y twice with respect to x.

>> No.2602711

Ok I got it. Thanks /sci/.

>> No.2602718

So does that make y"=-xsinx the answer?

>> No.2602721

>>2602718
http://www.wolframalpha.com/input/?i=second+derivative+of+y%3Dxsinx

>> No.2602743

>>2602721
Thanks. Forgot to use product rule.

>> No.2602860

I got another question. Why do I use chain rule in getting the derivative of y=sinmx and not product rule? I thought you only use chain rule after the power rule?

>> No.2602870

>>2602860
the chain rule is used when you have a function of a function of x
ie: when you have f(g(x)), in this case g(x)=mx and f(x)=sinx, so f(g(x))=sinmx

how could you possibly use the product rule in this case?

>> No.2602875

>>2602870
if you were seriously derp you could use it on g(x) = mx

>> No.2602881

>>2602870
I get it thanks again. I thought it was f(x)*f(g) sinm*x.