Question

Differentiate the function. $W(t)=\sqrt{t}-2 e^t$ 

   Differentiate the function.
 $W(t)=\sqrt{t}-2 e^t$
Single Variable Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals
James Stewart,… 9th Edition
Chapter 3, Problem 18 ↓
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Differentiate the function. $W(t)=\sqrt{t}-2 e^t$
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Transcript

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00:01 There are 2 themes to this problem.
00:02 The first is the manipulation of the square root of t, but then you can't really do anything with this minus 2 e to the t.
00:14 So what i would do is rewrite the square root as to the 1 half power, which is absolutely true, because now, when i asked for the derivative w prime of t, you can follow with the power rule where you can move that exponent in front 1.
00:32 Half t to the you subtract 1 from that exponent and if you need to see some scratch work, you know if you're subtracting 1, that's the same thing is doing 2 divided by 2 and 1...
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