Question

derivative of e^x - sin(y)=x

Answer 1

e^x-1=cosy.(dy/dx)

Answer 2

if y is constant, the answer is e^x-1=0 and e^x=1 so x=0

Answer 3

no you can't solve for y easily so you have to use the thing with the y' ( i can't remember the name)

Answer 4

\[y=\sin^{-1} (e^x-x)\]

Answer 5

no 2 but i think thats right

Answer 6

ok then arcsin(e^x-x)=y

Answer 7

so we take its derivative;

Answer 8

e^x-1/(1-[(e^x-x)^2]=dy/dx

Answer 9

\[\frac{d}{dx}\sin^{-1} x=\frac{1}{\sqrt{1-x^2}}\]

Answer 10

that's right..

Answer 11

there is no sqrt in your solution..

Answer 12

\[\frac{e^x-1}{\sqrt{1-(e^x-x)^2}}\]