0:00 A particle moves along the curve y=sqrt(1+x^3) 0:55 Come up with your equation 1:57 Implicit Differentiation 6:20 Solve For the Desired Rate of Change
Would it be correct to just undo the square root by squaring y at first? Then, y^2=1+x^3 is much easier to differentiate without all this double chain rule stuff. I tried a few problems that way, and the answers seem to be the same.
Yeah that would definitely work! It basically just means you would be using implicit differentiation instead of chain rule. Should get you to the same answer, just a different way. There’s often more than one way to solve a problem. Good job!
0:00 A particle moves along the curve y=sqrt(1+x^3)
0:55 Come up with your equation
1:57 Implicit Differentiation
6:20 Solve For the Desired Rate of Change
That actually helped so much. Uni professors are hopeless! Thank you so much!
You’re welcome, I’m glad it helped!
That was so much better explained here than how it was by my TA, thank you so much!!
You’re welcome!
Your lesson helped me so much because it's easy to follow.
Thank you, sir :)
Awesome! I'm always glad to hear when people think these are helpful! Thank you :)
thank you, learning so much more from u than my actual professor
I’m happy to help, thank you!
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Glad it was helpful!
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thank you king
Got it so far!!
got it so far, very helpful
I’m glad you found it helpful, thank you!
Would it be correct to just undo the square root by squaring y at first? Then, y^2=1+x^3 is much easier to differentiate without all this double chain rule stuff. I tried a few problems that way, and the answers seem to be the same.
Yeah that would definitely work! It basically just means you would be using implicit differentiation instead of chain rule. Should get you to the same answer, just a different way. There’s often more than one way to solve a problem. Good job!
@@JakesMathLessons awesome, thanks!
@@LT98753 no problem!
got it so far!
Got it so far!
Awesome! I hope it helped!