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jk_16
how would I find this??
\[\frac{ d ^{2}y }{ dx ^{2} }=\frac{ d }{ dx } \frac{ dy }{ dx }\]In your case, y=uv. So, differentiate uv, and then differentiate the result.
duv/dx= (uv)'=u'v+uv' d^2(uv)/dx^2=(uv)''=(u'v+uv')'=u''v+u'v'+u'v'+uv''=u''v+2u'v'+uv''