Home
Class 12
MATHS
If the three function f(x),g(x) and h(x)...

If the three function `f(x),g(x)` and `h(x)` are such that `h(x)=f(x)g(x)` and `f'(a)g'(x)=c`, where c is a constant, then :
`(f''(x))/(f(x))+(g''(x))/(g(x))+(2c)/(f(x)f(x))` is equal to :

A

`(h(x))/( h(x)) `

B

`(h (x ))/( h(x ))`

C

`(h(x))/( h"(x))`

D

`h'(x ) .h"(x )`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|13 Videos
  • MOCK TEST PAPER -II

    MODERN PUBLICATION|Exercise SELECT CORRECT ANSWER|60 Videos

Similar Questions

Explore conceptually related problems

If the three functions f(x),g(x) and h(x) are such that h(x)=f(x).g(x) and f'(x).g'(x)=c , where c is a constant then (f^('')(x))/(f(x))+(g^('')(x))/(g(x))+(2c)/(f(x)*g(x)) is equal to

If g is the inverse function of f and f'(x) = sin x then g'(x) =

If f(x)=(a x^2+b)^3, then find the function g such that f(g(x))=g(f(x))dot

Let f(x+y)=f(x)f(y) and f(x)=1+(sin2x)g(x) , where g(x) is continuous. Then f'(x) is equal to :

If f(x)=x^(2)g(x) and g(x) is twice differentiable, then f''(x) is :

Let f(x)=x^(2) and g(x)=2x+1 be two real functions. Find (f+g) (x), (f-g) (x), (fg) (x), (f/g) (x) .

If the function f(x)= x^(3)+e^(x/2) and g(x) = f^(-1)(x) then the value of g^(')(1) is

If f(x) = ax+b and g(x) = cx+d then f(g(x)) = g(f(x)) is equivalent to

MODERN PUBLICATION-MOCK TEST PAPER -I-SELECT THE CORRECT ANSWER
  1. If f(x ) = {(3 sin pi x)/(5x ) underset( x=0)underset( x ne 0) is con...

    Text Solution

    |

  2. If the fucntion f (x ) satisfies underset( x to 1) (lim ) . (f (x )...

    Text Solution

    |

  3. If the three function f(x),g(x) and h(x) are such that h(x)=f(x)g(x) a...

    Text Solution

    |

  4. the derivative of e^(ax) cos bx with respect to x is re^(ax) cos...

    Text Solution

    |

  5. If x=a cos ^(3) theta and y = a sin^(3) theta then (dy)/( dx) =

    Text Solution

    |

  6. If y= tan^(-1) sqrt(x^(2)-1) then the ratio (d^(2)y)/(dx^(2)) : (dy)/...

    Text Solution

    |

  7. If sqrt(r ) =ae^(thetacotalpha) where a and alpha are real numbers the...

    Text Solution

    |

  8. P is the point of contact of the tangent from the orign to the c...

    Text Solution

    |

  9. The lengths of the sub-tangent , ordinate and the sub-normal are in

    Text Solution

    |

  10. the set of real values of x for which f(x ) = (x ) /( log x) is i...

    Text Solution

    |

  11. A wire of lenggth 20 cm is bent in the form of a sector of a circle. T...

    Text Solution

    |

  12. if int f (x ) sin x cos x dx = (1)/(2(b^(2) -a^(2)) log f(x ) + c w...

    Text Solution

    |

  13. int (sin^(-1))/(sqrt(1+x)) dx=

    Text Solution

    |

  14. int (cos^(n-1))/( sin^(n+1)) dx , n ne 0 is :

    Text Solution

    |

  15. The value of the intergral underset(0)overset(pi//2)(int) (sin^(100)...

    Text Solution

    |

  16. If [x] denote the greatest integer function , then , int(0)^(pi//6) (1...

    Text Solution

    |

  17. The area bounded by the curve : y={(x^2,x lt 0),(x,xge0):} and the...

    Text Solution

    |

  18. If m and n are the order and degree of the different equatin : ...

    Text Solution

    |

  19. The general solution of the differential equation sqrt(1-x^(2)y^(2)).d...

    Text Solution

    |

  20. The distance of the point P(a, b, c) from the x-axis is

    Text Solution

    |