Find `dy/dx`, if
1)   `y=4^(log_2 sin x)+9^(log_3 cosx)`
2)   `y=e^(2(log sec x))-9^(log_3 tanx)`

y=(4)^(log_(2)sin x)+(9)^(log_(3)cos x), find (dy)/(dx)

If y= 4 ^(log_2sin x+ )9^(log _3 cos x ) ,then (dy)/(dx)=

If y= 4 ^(log_2sin x )-9^(log _3 cos x ) ,then (dy)/(dx)=

y= 4 ^(log _ 2 cosec x)- 9 ^(log_3 cot x) ,then (dy)/(dx) =

If y=4^(log2(sinx))+9^(log3(cosx)," then "(log2(log3)y_(1)=

If y = e^(log (log x ))log3 x,then (dy)/(dx)

The number of solutions of z^2+bar z=0 is (a) 1           (b) 2 (c) 3           (d) 4

The co-ordinates of two fixed points A and B of a triangle ABC are (a,0) and (-a,0) respectively. If variable point C moves such that cot A+ cot B=lamda , (where lamda is a constant) then the locus of point C is:- (1)    y lamda =2a     (2)    y =lamda a     (3)    y a=2lamda     (4)     None of these.

If f(x) = { x , x ( 1 )  1   ( 2 )   4/3   ( 3 )   5/3   ( 4 )   5/2  

Sum of the series 1+2^2x+3^2x^2+4^2x^3+.....to oo , |x| (A)    (1+x)/(1-x)^3    (B)    (1-x)/(1+x)^3     (C)    (2+x)/(1-x)^3    (D)    (1-x)/(1+x)^2