Question

CHALLENGE...will give medal and fan
Differentiate with respect to x
y= (e^x)/(1+cosec x)

Answer 1

pellet lol

y = [e^x * (1+cosecx) - (-cosecx cotx) (e^x) ] / (1+cosecx)^2

Answer 2

can it be simplified any further after that?

Answer 3

Other than taking e^x and cosecx as common factors and multiplying ( - ) * (-) , I don't think so.

Answer 4

I got something like
[(e^x)(sin^2 x+sin x +cos x)]/(1+ sin x)^2
is that correct?

Answer 5

1 + 1/sinx + 1/sin * cosx/sinx

sin^2x + sinx + cosx

(1+cosecx)^2 * sin^2x = (1+ sinx)^2
Correct, but your simplification complicated it.

Answer 6

Ive got one more doubt

Answer 7

A group consists of 8 men and 5 women. Find the number of committees of 5 persons that can be formed, if committee consists of at least 4 women

Answer 8

That's another question.

Answer 9

ya, i didn't think of it. Thanks

Answer 10

I meant combinations xD

Answer 11

8C1 * 5C4