If `f(x)=x^4tan(x^3)-x1n(1+x^2),` then the value of `(d^4(f(x)))/(dx^4)` at `x=0` is 0 (b) 6 (c) 12 (d) 24

Let f(x)=x^(5)+2x^(3)+3x+4 then the value of 28(d)/(dx)(f^(-1)) at x=-2 is

If f(x)=max{x^(2),(1-x)^(2),(3)/(4)},x in[0,1] then the value of of int_(0)^(1)f(x)dx is

If 4:3=x^(2):12, then the value of x(x>0)16( b) 4(c)9(d)3

If f(x)=x^(3)+3x+4, then the value of int_(-1)^(1)f(x)dx+int_(0)^(4)f^(-1)(x)dx equals

If f(x)=inte^(x)(tan^(-1)x+(2x)/((1+x^(2))^(2)))dx,f(0)=0 then the value of f(1) is

If f(x)=cos(log x), then value of f(x)f(4)-(1)/(2){f((x)/(4))+f(4x)} is (a) 1(b)-1(c)0(d)+-1

If f(x)=x^(3)+2x^(2)+3x+4 and g(x) is the inverse of f(x) then g'(4) is equal to- (1)/(4)(b)0 (c) (1)/(3)(d)4

If f(x) is differentiable and strictly increasing function,then the value of lim_(x rarr0)(f(x^(2))-f(x))/(f(x)-f(0)) is 1 (b) 0(c)-1 (d) 2

1.If f(x)=((x^(2)-4)/(x-2)) ,then f(2) is (a) 0 (b) 2 (c) 4

If sec x+sec^(2)x=1 then the value of tan^(8)x-tan^(4)x-2tan^(2)x+1 will be equal to 0(b)1(c)2(d)3