Home
Class 12
MATHS
Let f(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

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL COEFFICIENTS

    BITSAT GUIDE|Exercise BITSAT Archives|17 Videos
  • DETERMINANTS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |13 Videos
  • DIFFERENTIAL EQUATIONS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|17 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

Let f(x)=x^(2)+xg'(1)+g''(2) and g(x)=f(1)x^(2)+xf'(x)+f''(x) then f(g(1)) is equal to

Let f(x)=3x^(2)+4xg'(1)+g''(2) and, g(x)=2x^(2)+3xf'(2)+f''(3)" for all "x in R. Then,

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

f(x)=x^(2)+xg'(1)+g''(2)and g(x)=f(1)x^(2)+xf'(x)+f'(x). The domain of the function sqrt((f(x))/(g(x))) is

Let f (x) and g (x) be two differentiable functions, defined as: f (x)=x ^(2) +xg'(1)+g'' (2) and g (x)= f (1) x^(2) +x f' (x)+ f''(x). The value of f (1) +g (-1) is:

Let f (x) and g (x) be two differentiable functions, defined as: f (x)^(2)=x ^(2) +xg'(1)+g'' (2) and g (x)= f(1)x^(2) +x f' (x)+ f''(x). The number of integers in the domain of the function F(x)= sqrt(-(f(x))/(g (x)))+sqrt(3-x) is:

f(x)=x^(2)+xg'(1)+g''(2)and g(x)=f(1)x^(2)+xf'(x)+f'(x). The value of f(3) is

f(x)=x^(2)+xg'(1)+g''(2)and g(x)=f(1)x^(2)+xf'(x)+f'(x). The value of g(0) is