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dy/dt for y = (1+e^t) ln tfind the derivaties and simplify
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High School Teacher
`y= (1+e^t) ln t`
We need to find the derivative `(dy)/(dt)`
==> We will use the product rule:
If `y= u*v ==gt y' = u'v + uv` '
`==gt y'= (1+e^t)'(lnt) + (1+e^t)(lnt)'`
`==gt y'= (e^t)(lnt) + (1+e^t)(1/t) `
`==gt y' = (e^t)lnt + 1/t + (e^t)/t`
Posted by hala718 on June 20, 2012 at 3:28 AM (Answer #1)
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