Question

Let f and g be differentiable function such that f’(x) = 2g(x) and g’(x) = –f(x), and let T(x) = (f (x))2 – (g(x))2. Then T’(x) is equal to

Solution

Correct option is

6f (xg(x)

                

              

SIMILAR QUESTIONS

Q1

Let [.] denote the greatest integer function and . Then

Q2

Let f (x + y) = (xf (y) for all x and y. If f (5) = 2 and f’(0) = 3, then f’(5) is equal to

Q3

 

Let f (x) = [x] and

               

Q4

Let

         

The values of the coefficient a and b for which the function is continuous and has a derivative at x0, are

Q5

Given f’(2) = 6 and f’(1) = 4.  

       

Q6

Let R âŸ¶ R be such that f(1) = 3 and f’(1) = 6. Then

                     

Q7

The domain of the derivative of the function

           

Q8

If (0) = 0, f’(0) = 2 then the derivative of  at x = 0 is 

Q9

  

If f is differentiable for all x then 

Q10

Let f be a twice differentiable function such that f’’(x) = –f(x) and f’(x) = g(x). If h’(x) = [f(x)]2 + [g(x)]2h(1) = 8 and 

h(0) = 2, then h(2) is equal to