0:00 Each side of a square is increasing at a rate of 6 cm/s 0:30 Draw a sketch 2:05 Come up with your equation 4:13 Implicit Differentiation 5:59 Solve For the Desired Rate of Change
Quick question: 5:06 you've said to use "chain rule" but then you've done the power rule which was simply 2l Were you trying to explain where they dl/dt was coming from?
Yes exactly! Since you’re taking the derivative with respect to t, you have to treat l as a function of t, so think of it as [l(t)]^2 with l(t) being the inside function and the ^2 part being the outside function. Then apply chain rule from there. We use power rule to find the derivative of the ^2 part, but the dl/dt comes from applying chain rule.
0:00 Each side of a square is increasing at a rate of 6 cm/s
0:30 Draw a sketch
2:05 Come up with your equation
4:13 Implicit Differentiation
5:59 Solve For the Desired Rate of Change
Thank you so much for this! Your channel is underrated
XForceGaming thank you! So glad you like my videos!
Quick question: 5:06 you've said to use "chain rule" but then you've done the power rule which was simply 2l
Were you trying to explain where they dl/dt was coming from?
Yes exactly! Since you’re taking the derivative with respect to t, you have to treat l as a function of t, so think of it as [l(t)]^2 with l(t) being the inside function and the ^2 part being the outside function. Then apply chain rule from there. We use power rule to find the derivative of the ^2 part, but the dl/dt comes from applying chain rule.
Super helpful! Was stuck on this for a while.
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Thank you this was really helpful
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Thank you so much!
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Thank you so much, you’re a big help.
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Thanks for this. I like your videos, you do a much better job compared to my professor.
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appreciate everything you do man
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Great job my guy
Thank you!
totally just saved my ass thank you!
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