Question

Differentiate the function. $V(t)=t^{-3 / 5}+t^4$

   Differentiate the function.
$V(t)=t^{-3 / 5}+t^4$
Single Variable Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals
James Stewart,… 9th Edition
Chapter 3, Problem 12 ↓
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Differentiate the function. $V(t)=t^{-3 / 5}+t^4$
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Transcript

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00:01 The main idea with finding the derivative of a polynomial, you know, where, let's say you have some constant times x to the end of power, then its derivative is equal to the coefficient, i should call it that, instead of a constant, times the exponent, and then you subtract one from the exponent.
00:21 So when you weren't given, what is this is called b of t, but the independent variable is t instead of x, t to the negative three fifth power, plus t to the fourth.
00:36 Well this time there's no coefficients but all you have to do for the derivative is move the exponent in front.
00:43 So negative three fiss t and then subtract one from the exponent.
00:49 Well what i would do is change that to be five five sets equal to one and then it's still plus again move the four in front and then subtract one from four...
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