Home
Class 12
MATHS
If f(x)=x^(2)g(x), then f''(x)=...

If `f(x)=x^(2)g(x)`, then `f''(x)=`

A

`x^(2)g''(x)+2x'(x)+2g(x)`

B

`2g''(x)`

C

`x^(2)g''(x)+4xg'(x)+2g(x)`

D

`x*g''(x)+g(x)+2g(x)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 11)|19 Videos

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos

  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

Let g(a,b)=log_(a)b. If f(x)=g(x^(2),ln x) then f'(x) at x=e is

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

If f(x)=x^2 and g(x)=x^2+1 then: (f@g)(x)=(g@f)(x)=

If : f(x)=x^2 and g(x)=2^x, then, the solution set of the equation (f@g)(x)=(g@f)(x) is

If f(x)=|x-2| and g(x)=f(f(x)) then g'(x)=

If f(x) = x^(2) and g(x) = (1)/(x^(3)) . Then the value of (f(x)+g(x))/(f(-x)-g(-x)) at x = 2 is

If f''(x) =- f(x) and g(x) = f'(x) and F(x)=(f((x)/(2)))^(2)+(g((x)/(2)))^(2) and given that F(5) =5, then F(10) is

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

If f(x)=2x+3 and g(x)=9x+6 , then find g[f(x)]-f[g(x)]