Find dy/dx by implicit differentiation | sqrt(x + y) = x^4 + y^4

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How to find dy/dx by implicit differentiation given that sqrt(x + y) = x^4 + y^4.

0:00 - Find dy/dx by implicit differentiation given sqrt(x + y) = x^4 + y^4
0:49 - Take the derivative of both sides with respect to x
7:26 - Separate dy/dx terms from non-dy/dx terms
14:45 - Factor out the dy/dx
16:06 - Isolate dy/dx

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Комментарии
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Here's the 4 simple steps we will take in order to find dy/dx from the given equation sqrt(x + y) = x^4 + y^4:
0:49 - Take the derivative of both sides with respect to x
7:26 - Separate dy/dx terms from non-dy/dx terms
14:45 - Factor out the dy/dx
16:06 - Isolate dy/dx

JakesMathLessons
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Wow, this is by far the best implicit differentiation video, you explained every step which cleared up so much confusion for me. Everyone else goes too fast. Thank you so much man!

nolimits
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You just literally saved me!! THANKS A LOT!

MaChristianaBPena
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This tutorial is AMAZING!!! This is so so helpful. Thank you and may Allah bless you!! :)

aishamahmoud
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Thanks, Jake, Sir!
A lot of help here!

encarnashaun
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really helped! appreciate that you went over each step.

MTBDustin
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great explanation !! greetings from brazil

mat
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Jake you’re a life saver! Thank you so much. And do you have examples with multiplications in then ex: (XY)^1/2 instead of (X + Y)^1/2?

mathiscayer
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nice, and very helpful!! Thank you may Allah bless you!

nayahejazi