Question

Differentiate the function. $f(t)=-2 e^t$ 

   Differentiate the function.
 $f(t)=-2 e^t$
Single Variable Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals
James Stewart,… 9th Edition
Chapter 3, Problem 7 ↓
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Differentiate the function. $f(t)=-2 e^t$
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Transcript

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00:01 The overall theme in this problem is if you had some function, i'm just going to use h of x because that's not what we're doing here, is equal to e to the x power, that its derivative, h prime of x, is equal to itself.
00:16 That's what makes exponential functions with a base of e so special.
00:22 Yeah.
00:23 Now, the only thing i'm going to add to it is what if you have a constant in front? well, when you do the limit definition of the derivative, that constant soda just goes along for the ride.
00:34 So as we're looking at this problem, now this time in my problem, t is the independent variable, is equal to negative 2e to the t power...
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