Question

Differentiate the function. $F(t)=(2 t-3)^2$

   Differentiate the function.
$F(t)=(2 t-3)^2$
Single Variable Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals
James Stewart,… 9th Edition
Chapter 3, Problem 20 ↓
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Differentiate the function. $F(t)=(2 t-3)^2$
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Transcript

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00:01 There are just a couple tricks to do on this function, f of t.
00:06 And what we're looking at is 2t minus 3 squared.
00:11 So a quick reminder is that squaring something means multiplied by itself.
00:19 And at this point, what i would do is distribute everything.
00:23 So just a reminder 2t times 2t is 4t squared.
00:26 2 times negative 3 is negative 6t.
00:29 But then you also have to distribute the negative 3.
00:32 So you have another negative 6t and a negative times a negative as positive 9.
00:38 However, you would also want to combine like terms.
00:43 So the function f of t would be equal to 4t squared minus 12t plus 9...
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