Second derivatives (parametric functions) | Advanced derivatives | AP Calculus BC | Khan Academy

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Sal finds the second derivative of the function defined by the parametric equations x=3e__ and y=3__-1.

AP Calculus BC on Khan Academy: Learn AP Calculus BC - everything from AP Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP Test

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You're a life saver Saul :') thank you much!

BluFFiNMuFFiN
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The second derivative doesn't seem intuitive at first, glad I watched this video as a refresher.

TheCaptain
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The answer is not 1/(12e^t) it's 12/(e^t) because 12 is not to the power of -1 only e^t is.

sgun
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Hello Mr. Khan, I just have a question: why is the second derivative set up like ((d^2)y/(dx^2)) instead of something like dy^2/dx^2

darpmosh
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Your writing through mouse is much much better than my handwriting😅

satyamtiwari
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You're awesome Thank u !!!! So much

davidcarmichael
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was so concerned that sal wasn't going to put that three in front of e.

arbitrary_inquiry
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him saying “i encourage you to pause the video and think about it” at 3:51 was lowkey passive aggressive

fourthhorndeservesrats
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Wow glad i watched it, else i would have never known why we use that equation for Second derivatives of parametric functions....my teacher just told me to mug up the equation

anon
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Well, I don't understand why we need to divide on dx/dt, and not just take the second derivative of dy/dx

sergey_zatsepin
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Why does he sound so different in this video? haha

IguanoTwix