How do you find the derivative of #e^(-2t)#?

Answer 1

Isabella Ackerman

Differential of #e^(-2t)# is #-2/e^(2t)#

As differential of #e^t# is #e^t#

Differential of #e^(-2t)# using chain rule

is #e^(-2t)xx-2=-2/e^(2t)#

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Answer 2

Christopher Allers

To find the derivative of ( e^{-2t} ), you can use the chain rule. The derivative is obtained by multiplying the derivative of the outer function (( e^x ), which is ( e^x )) by the derivative of the inner function (( -2t ), which is ( -2 )):

[ \frac{d}{dt} (e^{-2t}) = -2e^{-2t} ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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