Let `f(x)=cot^(-1)((x^(2)-x+1)/(2x-3x^(2))+(x^(2)-x+1)/(3-2x))` and if `f((3)/(2))+f((5)/(7))+f((2)/(3))+f((7)/(5))=k pi` then `k` is

If f(x)=(1+x)(2+x^(2))^((1)/(2))(3+|x^(3)|)^((1)/(3)) then f'(-1) is

Let f(x)=x^(3)/3-x^(2)/2+x-16 . Find f^(')(0), f^(')(-1) .

Let f(x)=|(1,3,5),(x-2,3x^(2)-12,5x^(3)-40),(x-3,3x^(2)-27,2x^(3)-54)| then f(2)f(3)+f(2)f(7)+f(3)f(7)= __________

If f(x)=x^(3)-2x^(2)+7x+5 ,then f(x-2)=

Comprehension (for Q.No.1 to 3) Let f(x)=sin^(-1)(1-x^(2))/(1+x^(2))+tan^(-1)(2x)/(1-x^(2)). Then If f'(-2)=k, then k=0( b) (4)/(5)(c)(pi)/(2)(d)(16)/(5)

If 2f(x^(2))+3f((1)/(x^(2)))=x^(2)-1, then f(x^(2)) is

If f(x)=x^(2)+3x-5, find f(0),f(1) and f((1)/(2))

Let f(x)=x^(2)-2xandg(x)=f(f(x)-1)+f(5-f(x)), then

If f (x) =2+ |x| -|x-1|-|x+1|, then f '((1)/(2)) +f' ((3)/(2))+f' ((5)/(2)) is equal to:

f(x)=(2^x+2^(-x)(tanx)sqrt(tan^-1(2x^2-3x+1)))/(7x^2-3x-1)^3 , then find f'(0)