Question

Differentiate the function. $r(t)=\frac{a}{t^2}+\frac{b}{t^4}$ 

   Differentiate the function.
 $r(t)=\frac{a}{t^2}+\frac{b}{t^4}$
Single Variable Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals
James Stewart,… 9th Edition
Chapter 3, Problem 14 ↓
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Differentiate the function. $r(t)=\frac{a}{t^2}+\frac{b}{t^4}$
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HW 3 Section 2.3#7 If possible, please go by the James Stewart Calculus 9th Edition. (Sometimes) Also when indicating where x approaches a limit if nessessary, please use talley marks. Please show work.
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Transcript

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00:01 The first thing i would do to differentiate r of t is to rewrite these fractions.
00:07 We have a over t squared and b over t to the fourth.
00:15 So the main thing would be if you have an exponent that's in the denominator, you can move it to the numerator as long as you make that exponent negative.
00:24 Same thing here, make it negative 4.
00:27 So what we have is r of t is equal to a times t to the negative second plus b times t to the negative fourth.
00:36 So at this point, we can use the power rule.
00:40 The power rule with the derivative is moving the exponent in front...
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