Home
Class 11
MATHS
If f(x)=2x^2+3x+5, then prove that f'(0)...

If f(x)=`2x^2+3x+5`, then prove that `f'(0)+3f'(-1)=0`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.3|16 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.4|24 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.1|10 Videos

  • CONTINUITY

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|34 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED)) (Integer Type Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of the function f(x)=2x^(2)+3x-5" at "x=-1 . Also prove that f'(0)+3f'(-1)=0 .

Let f : R to R ,f (a) =1, f '(a) = 2 then prove that Lt _(x to 0) ((f ^(2) (a + x ) )/( f (a)))^(1/x) = e ^(4)

If 2f(x) -3f(1/x)=x^(2), x ne 0 , then f(2)=

If f(x)=2x^2+3x-5,x=3,deltax=0.02 , then delta f=

If f: R - {0} to R is defined by f(x) = x^(3)-1/(x^3) , then S.T f(x) + f(1//x) = 0 .

If f (x +y) = 2 f (x) .f(y) such that f '(0) 3 and (4) = 2 find d'(4).

If f (x) (x ^(3))/( x ^(2) -1) then f '' (0) =

f:R-{0} to R is defined as f(x)=x+1/x then show that (f(x))^(2)=f(x^(2))+f(1)

Let f(x)=(x-1)(x-2)(x-3) then prove that there is more than one 'c' in (1,3) such that f'(c )=0

AAKASH SERIES-DIFFERENTIATION -EXERCISE -4.2
  1. Find the derivative of the function e ^(ln (cot x )) + ln (e ^(x ^(2)...

    Text Solution

    |

  2. Find the derivative of the function 2 ^(log (2) sec x)+ log (3) (27^(...

    Text Solution

    |

  3. Find the derivative of the function e ^(x) (x ^(2) + 1 )

    Text Solution

    |

  4. Find the derivative of the function 5 sin x + log gx

    Text Solution

    |

  5. Find the derivative of the function e ^(x) + sin x.cos x

    Text Solution

    |

  6. Find the derivative of the function 5 ^(x) + log x + x ^(3) e ^(x)

    Text Solution

    |

  7. Find the derivative of the function e ^(2x) log x ( x gt 0)

    Text Solution

    |

  8. Find the derivative of the function x.e^(x) sin x

    Text Solution

    |

  9. Find the derivative of the function x ^(2) 2 log x (x gt 0)

    Text Solution

    |

  10. Find the derivative of the function (a-x)/(a +x)

    Text Solution

    |

  11. Find the derivative of y = (ax + b)/(cx + d),[|c| + |d| != 0]

    Text Solution

    |

  12. Find the derivative of the function (cos x )/( sin x + cos x)

    Text Solution

    |

  13. Find the derivative of (1 - xsqrt(x))/(1+xsqrt(x)), (x > 0)

    Text Solution

    |

  14. Find the derivative of the function (px ^(2) + qx +r)

    Text Solution

    |

  15. Find the derivative of the function (sin r )/(x)

    Text Solution

    |

  16. Find the derivative of the function (8^(x))/(x ^(8))

    Text Solution

    |

  17. Find the derivative of the function (a-b cos x)/(a +b cos x)

    Text Solution

    |

  18. Find the derivative of the function (sin x )/( 1+ cos x)

    Text Solution

    |

  19. If f(x)=1+x+x^(2)+…………+x^(100), then find f'(1).

    Text Solution

    |

  20. If f(x)=2x^2+3x+5, then prove that f'(0)+3f'(-1)=0

    Text Solution

    |