Home
Class 12
MATHS
y=(x^(cosx))/(x^(2)+4x+5)...

`y=(x^(cosx))/(x^(2)+4x+5)`

Text Solution

Verified by Experts

`(x^(cosx))/(x^(2)+4x+5)[(cosx)/(x)-(sinx)(logx)-(2x+4)/(x^(2)+4x+5)]`
Promotional Banner

Similar Questions

Explore conceptually related problems

y=((cosx)^(x))/(1+x-x^(2))

(x^(2)+4x)^(2)-5(x^(2)+4x)-y(x^(2)+4x)+5y

If y=(cos x)^((cosx)^((cos x )...oo)) then prove that dy/dx=(y^2 tan x)/(y log (cosx)-1).

If y= ( (cosx )^(x))/( 1+x-x^(2)),then (dy)/(dx) =

The solution of the differential equation xdy/dx+2y=x^(2),(xne0) with y(1)=1, is (a) y=x^(2)/4+3/(4x^(2)) (b) y=x^(3)/5+1/(5x^(2)) (c) y=3/4x^(2)+3/(4x^(2)) (d) y=4/5x^(3)+1/(5x^(2))

"If "y=x^(cos)+(cosx)^(x)", prove that "(dy)/(dx)=x^(cosx).{(cosx)/(x)-(sinx)logx}+(cosx)^(x)[(log cos x)-x tan x].

lim_(x to 0) ((1-cos 2x)(3+cosx))/(x tan 4x) is equal to

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))