Let `f(x)=|{:(p+x,q+x,r+x),(l+x,m+x,n+x),(a+x,b+x,c+x):}|` then

If y=|{:(f(x),g(x),h(x)),(l,m,n),(a,b,c):}| , prove that (dy)/(dx)=|{:(f'(x),g'(x),h'(x)),(l,m,n),(a,b,c):}| .

If y=|{:(f(x),g(x),h(x)),(l,m,n),(a,b,c):}| , prove that (dy)/(dx)=|{:(f'(x),g'(x),h'(x)),(l,m,n),(a,b,c):}| .

Suppose a,b,c epsilon R and let f(x)=|(0,a-x,b-x),(-a-x,0,c-x),(-b-x,-c-x,0)| Then coefficient of x^(2) in f(x) is

Let A={x in R :0lt=xlt=1}dot If f: A->A is defined by f(x)={(x ,, if x in Q) , (1-x ,, if x!in Q):} then prove that fof(x)=x for all x in Adot

Let f(x)= {(1, x in Q), (0, x in R-Q):} and g(x)= {(1, x in R-Q), (0, x in Q):} , find (f+g)(x) and (fg)(x).

If y= |(f(x),g(x),h(x)),(l,m,n),(a,b,c)| ,prove that (dy)/(dx)=|(f'(x),g'(x),h'(x)),(l,m,n),(a,b,c)| .

If y=|[f(x), g(x), h(x)],[ l, m , n],[ a , b , c]| prove that (dy/dx)=|[f'(x), g'(x), h'(x)],[ l, m , n],[ a , b , c]|

If y=|[f(x),g(x),h(x)],[l,m,n],[a,b,c]| then (dy)/(dx)

If y=|(f(x),g(x),h(x)),(l,m,n),(a, b,c)| , prove that, (dy)/(dx)=|(f'(x),g'(x),h'(x)),(l,m,n),(a, b,c)|