ok i just need to know if i have the right derivative for this function e^(2t) would the correct derivative be 2e^(2t)? thanks mathlete
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It's just using the chain rule: We know that: Say u equals some function of t (that is differentiable, of course): Then: So yes, you are correct.
sample: y=e^5x y= (5x)'(e^(5x)) y'= 5 (e^(5x)) solution: y = e^(2t) y = (2t)'(e^2t) y = 2e^2t
That's correct. You use the chain rule.
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