Question

Implicit differentiation

Answer 1

Here's the question and solution

Answer 2

@iambatman can answer this for you. He is a math prodigy. This is too had for me.

Answer 3

I'm going out for dinner, but I'll get back to you in a bit. Unless someone has answered it by then, bbl, good luck!

Answer 4

Ok, thanks anyways

Answer 5

@abb0t , I tried that and I got the answer and it took two pages..

Answer 6

What I don't understand is how they got \[\Large e^x ~\ln e^x~x^{e^x}\]
on the left hand side of the equation as you go from the 2nd line to the 3rd line. I don't understand if it was differentiation they did or what, bc I differentiated that side and got something very different

Answer 7

@dan815 is subpar (at best), in math. he can mayb help.

Answer 8

can you help @jim_thompson5910 ?

Answer 9

I got the same answer as my work did but I just wanted to know how they got that

Answer 10

I think between the first and second line in the solution they skipped several intermediate steps and rearranged terms. For instance, you see a ln(x) on the right hand side. Where did it come from except it has been moved from the LHS to the RHS.

Answer 11

haaha such trolling!!

Answer 12

implicit differntiation just take , every var not respect to the differntation var as a function of that var and carry differentiation

Answer 13

Yeah, that's all that happened. I don't get the LHS of the 2nd to 3rd line

Answer 14

@abb0t hate u

Answer 15

@doulikepiecauseidont are you wroking on a new problem or the same ?

Answer 16

http://www.derivative-calculator.net

Answer 17

Okay, counting the problem line as the first line, they skipped intermediate steps between line 2 and line 3. The derivative of x^(e^x) is NOT e^xln(x) x^(e^x). They have moved some terms to the RHS.

Answer 18

simplified it then divided that's what happened

Answer 19

Ok, thanks