Home
Class 12
MATHS
If f(a)= 2, f'(a) = 1, g(a)=-1 and g'(a)...

If f(a)= 2, f'(a) = 1, g(a)=-1 and g'(a)=2, then find `underset(xtoa)lim(g(x)f(a)-g(a)f(x))/(x-a)`.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MBD PUBLICATION|Exercise QUESTION BANK|127 Videos

  • TRIGONOMETRIC FUNCTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|267 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = e^(x)g(x) , g(0)=2 and g (0)=1 , then find f'(0) .

If f'(x)=e^x+1/(1+x^2) and f(0)=1, then find f(x).

Given f(2) = 6, (1) =4 find underset(hto0)lim(f(2+2h+h^2)-f(2))/(f(1+h-h^2)-f(1))

If f(x) = x +7 and g(x) = x-7, x in R then find fog (6).

If f(x)=27x^(3) and g(x) =x^(1//3) . Then, find gof(x).

If f(4)=4 , f'(4)=1 , then find lim_(xrarr4)(2-sqrtf(x))/(2-sqrtx)

If f(x)=x^3 and g(x)=x^(1/3) . Then find gof(x):

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

MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If f(x+y)=f(x).f(y) forall x,y and f(5)=2 and f'(0)=3, then show that ...

    Text Solution

    |

  2. If (fog) (1)=3, g(1) = 2, g(1) = 1,then show that f(2)=3.

    Text Solution

    |

  3. If f(a)= 2, f'(a) = 1, g(a)=-1 and g'(a)=2, then find underset(xtoa)li...

    Text Solution

    |

  4. Find the rate of change of the area of circle w.r.t.r when r=8 cm.

    Text Solution

    |

  5. The side of a sqart is increasing at the rate of 0.1 cm//sec and at th...

    Text Solution

    |

  6. A particle moves along a straight line according to the law s=t^3-3t^...

    Text Solution

    |

  7. Show that the function f(x)=1/x is decreasing in (0,oo).

    Text Solution

    |

  8. Find the intervals where the function f(x)=x^3-12x+10 is increasing.

    Text Solution

    |

  9. Find the slope of the normal to the curve y=xe^-x at x=2.

    Text Solution

    |

  10. Find the angle between the tangents to the curve y=x^2-5x+6 at the poi...

    Text Solution

    |

  11. Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent ...

    Text Solution

    |

  12. Find the points on the curve 9y^2=x^2, where normal to the curve makes...

    Text Solution

    |

  13. If y=x^4-12 and if x changes from 2 to 1.99, find the approximate erro...

    Text Solution

    |

  14. Using differential find the value of sqrt(16.2).

    Text Solution

    |

  15. Show that f(x)=x^3-6x^2+24x+4 has neither a maximum nor a minimum valu...

    Text Solution

    |

  16. Find the points where f(x)=8x^2-x^4-4 has local maximum or minimum.

    Text Solution

    |

  17. Find the absolute maximum and absolute minimum value of the function f...

    Text Solution

    |

  18. Find the absolute maximum and absolute minimum value of f(x)=x-x^3 in ...

    Text Solution

    |

  19. Using mean value theorem, prove that sin xltx,in(0.pi//2).

    Text Solution

    |

  20. Write antiderivative of tan^2x

    Text Solution

    |