Question

Differentiate the function. $g(t)=5 t+4 t^2$ 

   Differentiate the function.
$g(t)=5 t+4 t^2$
Single Variable Calculus: Early Transcendentals
Single Variable Calculus: Early Transcendentals
James Stewart,… 9th Edition
Chapter 3, Problem 4 ↓
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Differentiate the function. $g(t)=5 t+4 t^2$
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Differentiate each function. $$g(t)=\frac{t}{3-t}+5 t^{3}$$
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00:01 There's a couple of rules to establish here.
00:03 One of which is that if you're ever asked to find the derivative of some constant times x, so a linear function that has a slope in front, that the derivative is just the slope.
00:16 The other rule that you really need to know is what if we had a different constant times x to the end of power? what you do is you multiply that constant by the exponent, and then you subtract one from the exponent.
00:31 And really the last rule just sort of follows from, let's see, we're looking at g of t is equal to 5t plus 4t squared...
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