Home
Class 12
MATHS
Letf(x)=x^(2)+xg'(1)+g''(2) and g(x)=x^(...

Let`f(x)=x^(2)+xg'(1)+g''(2) and g(x)=x^(2)+xf'(2)+f''(3).` Then
a. `f'(1)= 4 + f'(2)`
b. `g'(2) = 8 + g'(1)`
c. `g''(2) + f''(3) = 4`
d. all of these

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise EXAMPLE|3 Videos
  • DIFFERENTIATION

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|8 Videos
  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=x^2+xg'(1)+g''(2) and g(x)=f(1).x^2+xf'(x)+f''(x), then find f(x) and g(x).

f'(x) = g(x) and g'(x) =-f(x) for all real x and f(5)=2=f'(5) then f^2 (10) + g^2 (10) is

If f ( x) = cos^(-1) ( cos ( x + 1) ) " and " g(x) = sin ^(-1) ( sin (x + 2)) , then f(1) + g (1) = ( pi -1) f (1) gt g(1) f(2) gt g (2) f(2) lt g (2)

If f(x)=sinx,g(x)=x^(2)andh(x)=logx. IF F(x)=h(f(g(x))), then F'(x) is

Let f_(1) (x) and f_(2) (x) be twice differentiable functions where F(x)= f_(1) (x) + f_(2) (x) and G(x) = f_(1)(x) - f_(2)(x), AA x in R, f_(1) (0) = 2 and f_(2)(0)=1. "If" f'_(1)(x) = f_(2) (x) and f'_(2) (x) = f_(1) (x) , AA x in R then the number of solutions of the equation (F(x))^(2) =(9x^(4))/(G(x)) is...... .

If f(x) = 3x + 2 & g(x) = -3x – 1. Find f(g(-3))

If f(x)=sqrt(x^(2)+1),g(x)=(x+1)/(x^(2)+1) and h(x)=2x-3 , then find f'[h'{g'(x)}] .

Let f(x) = 2x^2 and g (x) = 3x - 4 , x in R . Find fog