need some help with this one...
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Originally Posted by mathaction need some help with this one... use the product rule: $\displaystyle \frac d{dx} f(x)g(x) = f'(x)g(x) + g'(x)f(x)$ here: $\displaystyle f(x) = t^2 + 4$ and $\displaystyle g(x) = e^t$
Originally Posted by Jhevon use the product rule: $\displaystyle \frac d{dx} f(x)g(x) = f'(x)g(x) + g'(x)f(x)$ here: $\displaystyle f(x) = t^2 + 4$ and $\displaystyle g(x) = e^t$ ok...i came up with this... e^t*3t^2+e^t*t^3+4
Originally Posted by mathaction ok...i came up with this... e^t*3t^2+e^t*t^3+4 that's incorrect. try one more time. and use parentheses
Originally Posted by mathaction need some help with this one... $\displaystyle z'(t) = 3t^2e^t + \left( t^3 + 4 \right)e^t = \left( t^3 + 3t^2 + 4 \right)e^t$
oh ok...so its like just combining like terms...
Originally Posted by mathaction oh ok...so its like just combining like terms... yes, at the end, after i took derivatives
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