Home
Class 11
MATHS
If y=cos(sinx^(2)), " then " (dy)/(dx) "...

If `y=cos(sinx^(2)), " then " (dy)/(dx) " at " x=sqrt(pi/2)` is

A

-2

B

2

C

`-2sqrt(pi/2)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-A (1 MARK)|6 Videos

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-B (2 MARKS)|4 Videos

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise EXERCISE 10.4|28 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D)|4 Videos

  • GOV. MODEL QUESTION PAPER - 1

    SURA PUBLICATION|Exercise Section - IV|11 Videos

Similar Questions

Explore conceptually related problems

If y = cos ( sin x^2), then (dy)/(dx) at x= sqrt(pi)/(2) is ….......... .

If y= (sinx + cosx)/(sinx - cosx) then (dy)/(dx) at x = pi/2 is …………………….. .

If y=sqrt(sinx+y),then (dy)/(dx)dot

y=e^(sinx^(2)), find dy/dx :

Find (dy)/(dx)" if "x-y = pi .

If y=|cosx|+|sinx|,t h e n(dy)/(dx)a tx=(2pi)/3 is (1-sqrt(3))/2 (b) 0 (c) 1/2(sqrt(3)-1) (d) none of these

If y(x)=int_(pi^2/16)^(x^2)(cosxcossqrt(theta))/(1+sin^2sqrt(theta)),then (dy)/(dx) at x=pidot is

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

SURA PUBLICATION-DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION-EXERCISE 10.5
  1. If f(x)=x^(2)-3x, then the points at which f(x)=f'(x) are

    Text Solution

    |

  2. If y=1/(a-z), " then " (dz)/(dy) is

    Text Solution

    |

  3. If y=cos(sinx^(2)), " then " (dy)/(dx) " at " x=sqrt(pi/2) is

    Text Solution

    |

  4. If y=mx+c " and " f(0)=f'(0)=1, " then " f(2) is

    Text Solution

    |

  5. If f(x)=xtan^(-1)x, then f'(1) is

    Text Solution

    |

  6. d/dx(e^(x+5logx))

    Text Solution

    |

  7. If the derivative of (ax-5)e^(3x) at x=0 is -13, then the value of a i...

    Text Solution

    |

  8. x=(1-t^(2))/(1+t^(2)), y=(2t)/(1+t^(2)) " then " (dy)/(dx) is

    Text Solution

    |

  9. If x=asintheta " and " y=bcostheta, " then " (d^(2)y)/(dx^(2)) is

    Text Solution

    |

  10. The differential coefficient of log(10)x with respect to log(x)10 is

    Text Solution

    |

  11. If f(x)=x+2, " then " f'(f(x)) at x=4 is

    Text Solution

    |

  12. If y=(1-x)^(2)/x^(2), " then " (dy)/(dx)= is

    Text Solution

    |

  13. If pv = 81, then (dp)/(dv) at v=9 is

    Text Solution

    |

  14. If f(x) = {{:(x-5, "if" , x le 1),(4x^2-9, "if", 1 lt x lt 2),(3x+4 ,"...

    Text Solution

    |

  15. It is given that f'(a) exists,then lim(xrarra)(xf(a) - af(x))/(x - a) ...

    Text Solution

    |

  16. If f(x) = {{:(x+1, "when" , x lt 2),(2x-1, "when" ,x ge 2):}, then f'(...

    Text Solution

    |

  17. If g(x) = (x^(2)+2x+3), f(x) and f(0)=5 and lim(xrarr0)(f(x)-5)/x = 4 ...

    Text Solution

    |

  18. If f(x)={{:(x+2, -1 lt x lt 3), (5, x=3), (8-x, x gt 3):}, then at x=3...

    Text Solution

    |

  19. The derivative of f(x)=xabs(x) at x=-3 is

    Text Solution

    |

  20. If f(x) = {{:(2a-x, "for",-a lt x lt a),(3x-2a ,"for", x ge a):}, then...

    Text Solution

    |