If `y=|(sinx,cosx,sinx),(cosx,-sinx,cosx),(x,1,1)|,"find"(dy)/(dx)`

If y=(sinx-cosx)^((sinx-cosx)) , pi/4 < x<(3pi)/4 , find dy/dx .

If f(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]] Find f(-x)

If Delta=|(sinx.cosy,sinx.siny,cosx),(cosx.cosy,cosx.siny,-siny),(-sinxsiny,sinx.cosy,0)| , then Delta is independent of a)x b)y c)constant d)None of these

Evaluate int(cosx-sinx)/(1+2sinxcosx)dx .

Prove that (sin3x+sinx)sinx+(cos3x-cosx)cosx=0

Choose the correct answer from the bracket. If A=[(cosx,sinx),(-sinx,cosx)] and A(adjA)=k[(1,0),(0,1)] , then the value of k is a)0 b)3 c)1 d)2

Find dy/dx , if y=tan^-1((cosx-sinx)/(cosx+sinx))

int_0^(pi/2)frac(sinx)(sinx+cosx)dx

Simplify cosx[[cosx,sinx],[-sinx,cosx]]+sinx[[sinx,-cosx],[cosx,sinx]]

Evaluate int(3sinx+2cosx)/(3cosx+2sinx)dx .