Question

Help..Integration and Differentiation

Answer 1

These are two separate questions!!

Answer 2

sin y = x sin(a+y)

siny / sin(a+y) = x

now try to differentiate

Answer 3

*Using quotient rule

Answer 4

Can ya help me thru the steps!!

Answer 5

@Yahoo!

Answer 6

@surjithayer

Answer 7

@uri

Answer 8

@ilfy214

Answer 9

@Loser66 @litchlani @Hero

Answer 10

@amistre64

Answer 11

@Fifciol

Answer 12

@cambrige Try to Solve it with the Hint

Answer 13

@Yahoo! Dont u think I wud hav if I understood the hint...-_-

Answer 14

Is this correct?? @Yahoo!

Answer 15

If yes.Pls help on the next question posted in the same attachment!!

Answer 16

\[x=\frac{ \sin y }{ \sin \left( a+y \right) }=\frac{ \sin \left\{ \left( a+y \right)-a \right\} }{ \sin \left( a+y \right) }\]
\[or x=\frac{ \sin \left( a+y \right)\cos a-\cos \left( a+y \right)\sin a }{ \sin \left( a+y \right) }\]
\[or x=\cos a-\sin a \cot \left( a+y \right)\]
diff. w.r.t.x,
\[1=0-\sin a \left( -\csc ^{2}(a+y )\right)\frac{ dy }{ dx }\]
\[\frac{ dy }{ dx }=\frac{ 1 }{\sin a \csc ^{2}(a+y) }=\frac{ \sin ^{2}(a+y) }{\sin a }\]

Answer 17

So mine was r8?? @surjithayer

Answer 18

Why is cosa derivative 0 @surjithayer ??

Answer 19

cosa is a constant and its differential is 0

Answer 20

Oh kay!!

Answer 21

yw

Answer 22

Hey can u give me the idea for the other problems??

Answer 23

take log of both sides and then differentiate.

Answer 24

Oh kay..Hold up with me while I give'em a try!!

Answer 25

And after log we differentiate,I guess??

Answer 26

Posting in 1min

Answer 27

now substitute the value of y

Answer 28

x^x???

Answer 29

yes

Answer 30

k........last question diff x^y=y^x.....log??

Answer 31

yes after taking log take all y's on L.H.S and x's on R.H.S

Answer 32

did a mistake vl post in 2 mins

Answer 33

Correct??

Answer 34

@surjithayer

Answer 35

@Loser66 ...is it r8??

Answer 36

absolutely correct.

Answer 37

Ta man..Life saver u r!!