Home
Class 11
MATHS
If y=a e^(m x)+b e^(-m x), then (d^2y)/(...

If `y=a e^(m x)+b e^(-m x),` then `(d^2y)/(dx^2)` is equals to

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If y=ae^(mx)+be^(-mx) , then (d^2y)/dx^2-m^2y is equals to (a). m^2(ae^(mx)-be^(mx)) (b).1 (c).0 (d).None of these

If y=a x^(n)+b x^(-n) ,then x^2(d^2y)/(dx^2) is equal to

If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to (a) n(n-1)y (b) n(n+1)y (c) n y (d) n^2y

"If "y= cos x +e^(4x)," then "(d^(2)y)/(dx^(2))=

If y=e^(sqrt(x))+e^(-sqrt(x)) , then (dy)/(dx) is equal to (a) (e^(sqrt(x)))/(2sqrt(x)) (b) (e^(sqrt(x))-e^(-sqrt(x)))/(2sqrtx) (c) 1/(2sqrt(x))sqrt(y^2-4) (d) 1/(2sqrt(x))sqrt(y^2+4)

If x=e^z then x^2(d^2y)/(dx^2) is

If y=e^(sqrt(x))+e^(-sqrt(x)) , then (dy)/(dx) is equal to -

If y=e^(sqrt(x))-e^(-sqrt(x))," then "(dy)/(dx) is equal to

If e^y(x+1)=1 , find (d^2y)/(dx^2)

If y=e^(7x) +e^(-7x) , show that (d^(2)y)/(dx^(2))= 49y .

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. Prove (a + b + c) (ab + bc + ca) > 9abc

    Text Solution

    |

  2. Statement 1: f(x)=x+cosx is increasing AAx in Rdot Statement 2: If f...

    Text Solution

    |

  3. If y=a e^(m x)+b e^(-m x), then (d^2y)/(dx^2) is equals to

    Text Solution

    |

  4. If y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))]...

    Text Solution

    |

  5. If y=sqrt(logx+sqrt(logx+sqrt(logx+oo))),t h e n(dy)/(dx)i s (a)x/(...

    Text Solution

    |

  6. (d^n)/(dx^n)(logx)=? (a)((n-1)!)/(x^n) (b) (n !)/(x^n) (c)((n-2)!)/(...

    Text Solution

    |

  7. If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a)cos(pi/4) (b) s...

    Text Solution

    |

  8. The differential coefficient of f((log)e x) with respect to x , where ...

    Text Solution

    |

  9. If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e ...

    Text Solution

    |

  10. If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is ...

    Text Solution

    |

  11. if f(x) = sqrt(1-sin2x), then f'(x) is equal to

    Text Solution

    |

  12. If x=tcost ,y=t+sint . Then (d^2 x)/(dy^2)at t=pi/2 is (a)(pi+4)/2...

    Text Solution

    |

  13. If x^3+3x^2-9x=c is of the form (x-alpha)^2(x-beta) , then c is equal ...

    Text Solution

    |

  14. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

    Text Solution

    |

  15. f^(prime)(x)=phi(x) and phi^(prime)(x)=f(x) for all x. Also,f(3)=5 and...

    Text Solution

    |

  16. Match the value of x in column II where derivative of the function in ...

    Text Solution

    |

  17. If y=cos^(-1)((2x)/(1+x^2)),t h e n(dy)/(dx)i s (-2)/(1+x^2) for all ...

    Text Solution

    |

  18. Each question contains statements given in two columns which have to...

    Text Solution

    |

  19. Suppose the function f(x) satisfies the relation f(x+y^3)=f(x)+f(y^3)d...

    Text Solution

    |

  20. If for some differentiable function f(alpha)=0a n df^(prime)(alpha)=0,...

    Text Solution

    |