(vii) The derivative of f(x) = |x|at x=3 equals (a) 1 (b) -1 (C) 3 (d) 2

The derivative of f(x) = (2x + 1)^(3) is

The anti derivative of (sqrt(x)+1/(sqrt(x))) equals(A) 1/3x^(1/3)+2x^(1/2)+C (B) 2/3x^(2/3)+1/2x^2+C (C) 2/3x^(3/2)+2x^(1/2)+C (D) 3/2x^(3/2)+1/2x^(1/2)+C

The anti derivative of (sqrt(x)+1/(sqrt(x))) equals (A) 1/3x^(1/3)+2x^(1/2)+C (B) 2/3x^(2/3)+1/2x^2+C (C) 2/3x^(3/2)+2x^(1/2)+C (D) 3/2x^(3/2)+1/2x^(1/2)+C

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)=3|x|+|x-2| then f'(1) is equal to a)2 b)1 c)3 d)0

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

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

If f(1)=3,f'(1)=(1)/(3),g(1)=-4,g'(1)=(-8)/(3) then the derivative of sqrt((f(x))^(2)+(g(x))^(2)) w.r.to x at x=1 is a) (-29)/(15) b) (7)/(3) c) (31)/(15) d) (29)/(15)

Suppose the function f(x)-f(2x) has the derivative 5 at x=1 and derivative 7a tx=2. The derivative of the function f(x)-f(4x)a tx=1 has the value equal to (a) 19 (b) 9 (c) 17 (d) 14

If f(1) = 1, f'(1) = 3, then the derivative of f(f(x))) + (f(x))^(2) at x = 1 is