[" 12."f(x)=(1)/(x^(2))" इढ,अयार्ग क्तार "],[f(x+h)-f(x-h)=-(4xh)/((x^(2)-h^(2))^(2))]

If f(x)=(1)/(x^2) , show that f(x+h)-f(x-h)=-(4xh)/((x^2-h^2)^2) .

If f(x)=1/(4x^(2)) , then proved that (f(x-h)-f(x+h))/h=x/((x^(2)-h^(2))^(2))

If f(1+x)=x^(2)+1 , then f(2-h) is

If f(1+x)=x^(2)+1 then f(2-h) is

If f(x)= x^2 , then (f(x+h)-f(x))/(h) =

If f(x)=(1)/(x) , prove that , underset(hrarr0)"lim"(f(2+h)-f(2))/(h)=-(1)/(4)

If f(x)=(2)/(x-3),g(x)=(x-3)/(x+4), and h(x)=-(2(2x+1))/(x^(2)+x-12) then lim_(x rarr3)[f(x)+g(x)+h(x)] is (a) -2(b)-1 (c) -(2)/(7) (d) 0

If f_(r)(x), g_(r)(x), h_(r) (x), r=1, 2, 3 are polynomials in x such that f_(r)(a) = g_(r)(a) = h_(r) (a), r=1, 2, 3 and " "F(x) =|{:(f_(1)(x)" "f_(2)(x)" "f_(3)(x)),(g_(1)(x)" "g_(2)(x)" "g_(3)(x)),(h_(1)(x)" "h_(2)(x)" "h_(3)(x)):}| then F'(x) at x = a is ..... .

If f_(r)(x), g_(r)(x), h_(r) (x), r=1, 2, 3 are polynomials in x such that f_(r)(a) = g_(r)(a) = h_(r) (a), r=1, 2, 3 and " "F(x) =|{:(f_(1)(x)" "f_(2)(x)" "f_(3)(x)),(g_(1)(x)" "g_(2)(x)" "g_(3)(x)),(h_(1)(x)" "h_(2)(x)" "h_(3)(x)):}| then F'(x) at x = a is ..... .