Home
Class 12
MATHS
Find (dy)/(dx) , when y=e^(a x)cos(b x+c...

Find `(dy)/(dx)` , when `y=e^(a x)cos(b x+c)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) , when y=e^xlog(1+x^2)

Find (dy)/(dx) , when y=(e^x+logx)/(sin3x)

Find (dy)/(dx), y=e^x+10^x+x^x

Find (dy)/(dx) for y=e^(6x)

Find (dy)/(dx) if y= cos^2x

Find (dy)/(dx) , when y = e^(-x^(2)) sin (log x)

Find (dy)/(dx) , when x=a\ cos^3t and y=at .

Find (dy)/(dx) of x^y+y^x=a^b

Find (dy)/(dx) for y=cos 55x

Find (dy)/(dx), when x=a e^(theta)(sintheta-costheta),y=a e^(theta)(sintheta+costheta)

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Differentiate (e^x+e^(-x))/(e^x-e^(-x)) with respect to x .

    Text Solution

    |

  2. Differentiate logsqrt((1+sinx)/(1-sinx)) with respect to x .

    Text Solution

    |

  3. Find (dy)/(dx) , when y=e^(a x)cos(b x+c)

    Text Solution

    |

  4. Find (dy)/(dx) , when y=(e^x+logx)/(sin3x)

    Text Solution

    |

  5. Find (dy)/(dx) , when y=e^xlog(1+x^2)

    Text Solution

    |

  6. Find (dy)/(dx) , when y=(sinx+x^2)/(cot2x)

    Text Solution

    |

  7. If y={x+sqrt(x^2+a^2)}^n , then prove that (dy)/(dx)=(n y)/(sqrt(x^2+a...

    Text Solution

    |

  8. If y=(xcos^(-1)x)/(sqrt(1-x^2))-logsqrt(1-x^2), then prove that (dy)/(...

    Text Solution

    |

  9. Differentiate sin(m\ sin^(-1)x) with respect to x :

    Text Solution

    |

  10. Differentiate (a^(sin^(-1)x))^2 with respect to x :

    Text Solution

    |

  11. Differentiate: e^(cos^(-1)sqrt(1-x^(2))

    Text Solution

    |

  12. Differentiate the following functions with respect to x : (log)(10)x...

    Text Solution

    |

  13. Differentiate 5^3-x^2+(3-x^2)^5 with respect to x :

    Text Solution

    |

  14. If y=(sqrt(a^2+x^2)+sqrt(a^2-x^2))/(sqrt(a^2+x^2)-sqrt(a^2-x^2)),s ho...

    Text Solution

    |

  15. If y=sqrt((1-x)/(1+x)) prove that (1-x^2)(dy)/(dx)+y=0

    Text Solution

    |

  16. If y=sqrt((1+e^x)/(1-e^x)),s howt h a t(dy)/(dx)=(e^x)/((1-e^x)sqrt(1...

    Text Solution

    |

  17. If (1+x)^n=c0+C1x+C2x^2++Cn x^n ,u s ingd e r i v a t i v e sp rov et ...

    Text Solution

    |

  18. Using the fact that s in (A + B) = s in A cos B + cos A s in Band the ...

    Text Solution

    |

  19. If f(x)=sqrt(x^2+1),\ \ g(x)=(x+1)/(x^2+1) and h(x)=2x-3 , then find f...

    Text Solution

    |

  20. Differentiate sin(3x+5) with respect to x :

    Text Solution

    |