Home
Class 12
MATHS
If f'(x)=sin x^2 and y=f(x^2+1) then dy/...

If `f'(x)=sin x^2` and `y=f(x^2+1) then dy/dx`=____

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Differentiation

    A DAS GUPTA|Exercise Exercise|98 Videos

  • Differential Equation of the First Order

    A DAS GUPTA|Exercise Exercise|64 Videos

  • Elementary Probability

    A DAS GUPTA|Exercise Exercise|137 Videos

Similar Questions

Explore conceptually related problems

Let f'(x)=sin(x^(2)) and y=f(x^(2)+1) then (dy)/(dx) at x=1 is

if f'(x)=sqrt(2x^(2)-1) and y=f(x^(2)) then (dy)/(dx) at x=1 is:

If f'(x)=sqrt(2x^(2)-1) and y=f(x^(2)), then (dy)/(dx) at x=1, is

If f'(x)=sin(log x) and y=f((2x+3)/(3-2x)) then (dy)/(dx) equals

If f'(x)=sqrt(2x^(2)-1) and y=f(x^(2)), then find (dy)/(dx) at x=1

If f(x)=sqrt(3x^(2)+6) and y=f(x^(3)), then at x=1,(dy)/(dx) is equal to

If f^(1)(x)=(1)/(1+(ln x)^(2)) and y=f(e^(tan x)) then (dy)/(dx) is equal to

If 5f(2x)+3f((2)/(x))=2x+2 and y=xf(x) then ((dy)/(dx))_(x=1) is equal to

If y=f(cosx)" and "f'(x)=cos^(-1)x," then "(dy)/(dx)=

A DAS GUPTA-Differentiation-Exercise
  1. Let f'(x) = sin(x^2) and y = f(x^2 +1) then dy/dx at x=1 is

    Text Solution

    |

  2. If x=cost , y=loget then at t=pi/2, (d^2y)/(dx^2)+((dy)/(dx))^2=

    Text Solution

    |

  3. If f'(x)=sin x^2 and y=f(x^2+1) then dy/dx=

    Text Solution

    |

  4. If x=cost , y=loget then at t=pi/2, (d^2y)/(dx^2)+((dy)/(dx))^2=

    Text Solution

    |

  5. If tany = (2t)/(1-t^2) and sin x = (2t)/(1+t^2) then (dy)/(dx)=

    Text Solution

    |

  6. If xe^(xy)=y+sin^2x then at x=0 (dy)/dx=

    Text Solution

    |

  7. If x^2y +y^3=2, the value of (dy)/(dx) at the point (1,1) is

    Text Solution

    |

  8. Let f(x)={(tan)pi/4+tanx}{(tan)pi/4+(tan)(pi/4-x)}and g(x)=x^2+1. Then...

    Text Solution

    |

  9. IF y = 1 / (1+ x + x^2 + x^3), then value of (d^2y) / dx^2 at x = 0 is

    Text Solution

    |

  10. IF y = 1 / (1+ x + x^2 + x^3), then value of (d^2y) / dx^2 at x = 0 is

    Text Solution

    |

  11. If y=log (x+5), x!= -5 then dy/dx=

    Text Solution

    |

  12. If x^y = e^(x-y) " then " dy/dx ?

    Text Solution

    |

  13. If x=e^tcos t,y=e^t sin t then (dy)/(dx)=

    Text Solution

    |

  14. If phi(x)= |[1,2x,3x^2], [x,x^2,x^4], [0,2,6x]| then phi'(1)=

    Text Solution

    |

  15. The value of (dy/dx){(1,1)} for the curve 2y = 3 -x^2 is

    Text Solution

    |

  16. Let y =log(e)sin(x^2),0ltxlepi/2. The value of dy/dx at x= sqrt(pi/2) ...

    Text Solution

    |

  17. If f(x) = log ex then the differential coefficent of f(logex) with res...

    Text Solution

    |

  18. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(...

    Text Solution

    |

  19. If f(x) = tan^-1 {1/x (sqrt(1+x^2))} then f'(0) is

    Text Solution

    |

  20. If t=e^x and y=t^2-1 then (dy/dx) at t=1 is

    Text Solution

    |