Home
Class 12
MATHS
Differentiate (x^2-5x+8)(x^3+7x+9) in t...

Differentiate `(x^2-5x+8)(x^3+7x+9)` in three ways mentioned below:(i) by using product rule(ii) by expanding the product to obtain a single polynomial.(iii) by logarithmic differentiation.Do they all give the same answer?

Text Solution

Verified by Experts

The correct Answer is:
Yes
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(j) (LONG ANSWER TYPE QUESTIONS (I))|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(k) (SHORT ANSWER TYPE QUESTIONS)|19 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(i) (SHORT ANSWER TYPE QUESTIONS)|27 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

Similar Questions

Explore conceptually related problems

Differentiation of (2x-7)^(2)(3x+5)^(3)

Differentiate tanxtan2xtan3xtan4x in two ways : (i) by taking logarithums and (ii) by repeatedly applying product rule.

Differentiate (5x^(1//7)+(3)/(x^(3//2))) with respect to 'x'.

Differentiate (i) sinx^(3) , (ii) sin^(3)x , (iii) e^(sinx)

DIfferentiate (i) 3x^(-5) (ii) 1/(5x) (iii) root3(x^(2))

Differentiate the following w.r.t.x and find the value when x =9. (i) sin 5x (ii) tan 5x (iii) cos 5x

Differentiate w.r.t.x the function.(3x^(2)-9x+5)^(9)

Differentiate in two ways,using product rule and otherwise,the function (1+2tan x)(5+4cos x) .Verify that the answer are the same.

Differentiate each o the following functions by the product rule and the other method and verify that answer from both the methods is the same.: i.(3x^(2)+2)^(2) ii.(x+2)(x+3)

Differentiate each o the following functions by the product rule and the other method and verify that answer from both the methods is the same.: i. (3) sec x-4cos ec|x)(-2sin x+5cos x)

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(i) (LONG ANSWER TYPE QUESTIONS (I))
  1. Differentiate the following w.r.t. x : x^(2)e^(x)sinx

    Text Solution

    |

  2. Differentiate the following w.r.t. x : e^(x)cos^(3)xsin^(2)x

    Text Solution

    |

  3. Differentiate the following w.r.t. x : (x+3)^(2)(x+4)^(3)(x+5)^(4)

    Text Solution

    |

  4. Differentiate the following w.r.t. x : sqrt((x-1)(x-2)(x-3)(x-4))

    Text Solution

    |

  5. If x y=e^(x-y) , find (dy)/(dx) .

    Text Solution

    |

  6. If (sinx)^(y)=(siny)^(x),"find "dy/dx.

    Text Solution

    |

  7. Find dy/dx" if "(sinx)^(cosy)=(cosy)^(sinx).

    Text Solution

    |

  8. Differentiate log(x^(x)+cosec^(2)x) w.r.t. x.

    Text Solution

    |

  9. If x^(p)y^(q)=(x+y)^(p+q), show that dy/dx=y/x.

    Text Solution

    |

  10. If y=x^(y), show that dy/dx=y^(2)/(x(1-ylogx))

    Text Solution

    |

  11. If y^(x)=e^(y-x), then prove that (dy)/(dx) = ((1+logy)^(2))/(logy)

    Text Solution

    |

  12. If x^x+y^x=1 , prove that (dy)/(dx)=-{(x^x(1+logx)+y^x logy)/(x y^((x...

    Text Solution

    |

  13. If x^(y)+y^(x)=1,"find "dy/dx

    Text Solution

    |

  14. If x^y+y^x=a^b , then find dy/dx.

    Text Solution

    |

  15. If x^(y)+y^(x)=4,"find "dy/dx

    Text Solution

    |

  16. If x^(y)+y^(x)=loga,"find "dy/dx.

    Text Solution

    |

  17. Show that if x^(y)+y^(x)=m^(n), then : dy/dx=-(y^(x)logy+yx^(y-1))/(...

    Text Solution

    |

  18. Find the derivative of the function given by : f(x)=(1+x)(1+x^(2))(1...

    Text Solution

    |

  19. Differentiate (x^2-5x+8)(x^3+7x+9) in three ways mentioned below:(i) ...

    Text Solution

    |

  20. If u, v and w are functions of x, then show thatd/(dx)(udotvdotw)=(d u...

    Text Solution

    |