If graph of `y=f(x)` is symmetrical about the point `(5,0)` and `f^(prime)(7)=3,` then the value of `f^(prime)(3)` is__________

If the graph of the function y=f(x) is symmetrical about the line x=2, then

If f(x)=f(2a-x) then the graph of f(x) is symmetric about the line

If the graph of a function f(x is symmetrical about the line x = a, then

If the graph of non-constant function is symmetric about the point (3,4), then the value of sum_(r=0)^(6)f(r)+f(3) is equal to

If y=f(x) is symmetric about the lines 3x+4y+1=0 and 4x-3y-7=0 then it must be symmetric about

If the graph of y=f(x) is symmetrical about the lines x=1andx=2, then which of the following is true? (a) f(x+1)=f(x)( b) f(x+3)=f(x)(c)f(x+2)=f(x)(d) None of these

Let f(x)=(sqrt(2)^(x)-2)/(sqrt(2)^(x)+2) then if the graphs of y=f(x) and y=f(4x) are symmetrical about the points (a_(1),0) and (a_(2),0) respectively then (a_(2))/(a_(1))=

If graph of y=f(x) is symmetrical about the y-axis and that of y=g(x) is symmetrical about the origin and if h(x)=f(x)dotg(x),t h e n(d^3h(x))/(dx^3)a tx=0 is (a)cannot be determined (b) f(0)dotg(0) (c)0 (d) none of these