Home
Class 12
MATHS
Let f(x)=(1+sinx)(2+sin^(2)x)…+(n+sin^(n...

Let `f(x)=(1+sinx)(2+sin^(2)x)…+(n+sin^(n)x)` then f'(0) is equal to

A

1

B

n!

C

`n!//2`

D

n

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise EXAMPLES (LEVEL 2) Single Correct Answer Type Questions |30 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise EXAMPLES (Numerical Answer Type Questions)|17 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos
  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos
  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos

Similar Questions

Explore conceptually related problems

If quad ((sin^(m)x)/(sin^(n)x))^(m+n)((sin^(n)x)/(sin^(p)x))^(n+p)((sin^(p)x)/(sin^(m)x))^(p+) then f(x) is equal to

Let f(x)=(sin^(2)pix)/(1+pi^(x)). Then, int[f(x)+f(-x)]dx is equal to

Let f(x)=1+2sin((e^(x))/(e^(x)+1))x>=0 then f^(-1)(x) is equal to (assuming fis bijectve)

int(1-7cos^(2)x)/(sin^(7)xcos^(2)x)dx=(f(x))/((sinx)^(7))+C , then f(x) is equal to

If quad f(x)=(cos x+i sin x)(cos2x+i sin2x)(cos3x+i sin3x)cos nx+i sin nx and f(1)=1, then f(1) is equal to (n(n+1))/(2) (b) {(n(n+1))/(2)}^(2)(c)-{(n(n+1))/(2)}^(2) (d) none of these

Let f(x)=sin^(-1)x+|sin^(-1)x|+sin^(-1)|x| The range of f(x) is

If f(x)=sqrt(1-sin2x), then f'(x) equals

Let f(x)=lim_(n to oo) sinx/(1+(2 sin x)^(2n)) then f is discontinuous at

Iff(x)=2tan^(-1)x+sin^(-1)((2x)/(1+x^(2))),x>. The n,f(5) is equal to

MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -EXAMPLES (LEVEL 1) Single Correct Answer Type Questions
  1. If (sin x)(cos y)=1//2 then d^(2)y//dx^(2) at (pi//4,pi//4) is equal t...

    Text Solution

    |

  2. The set onto which the derivative of the function f(x)=x(log x-1) maps...

    Text Solution

    |

  3. Let f (x) be a function satisfying f(x+y)=f(x)f(y) for all x, y in R a...

    Text Solution

    |

  4. Let g=f^(-1) and f'(x)=(1)/(1+x^(4)) then g'(x) is equal to

    Text Solution

    |

  5. Suppose for a differentiable function f, f(0)=0,f(1)=1 and f'(0)=4=f'(...

    Text Solution

    |

  6. If the function f is differentiable and strictly increasing in a neigh...

    Text Solution

    |

  7. Let f(x)=||x-1|-1|, then all the points where f(x) is not differentiab...

    Text Solution

    |

  8. (d^(2)x)/(dy^(2)) equals

    Text Solution

    |

  9. If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2))(xy gt0) the...

    Text Solution

    |

  10. If 2f(sinx)+f(cosx)=x for all x in R then y=f(x) satisfies

    Text Solution

    |

  11. Let f(x)=(1+sinx)(2+sin^(2)x)…+(n+sin^(n)x) then f'(0) is equal to

    Text Solution

    |

  12. Let f(alpha) be a function defined by f(alpha)(x)={{:(x^(alpha)sin1//x...

    Text Solution

    |

  13. If function f(x) is differentiable at x = a then underset(x to a)lim""...

    Text Solution

    |

  14. Let f:(0,1)to R be defind by f(x)=(b-x)/(1-bx) where b is a constant s...

    Text Solution

    |

  15. If y=cosec(cot^(-1)x), then (dy)/(dx) at x = 1 is equal to

    Text Solution

    |

  16. Let f(x)={{:((1)/(|x|),,"if "|x|gt2),(A+Bx^(2),,"if "|x|le2):} then ...

    Text Solution

    |

  17. If f''(x)=-f(x),h(x)=f'(x) and F(x)=(f(x//2))^(2)+(h(x//2))^(2). Given...

    Text Solution

    |

  18. Let f be a differentiable function such that 8f(x)+6f(1//x)-x=5(x ne0)...

    Text Solution

    |

  19. Let f(x)={{:(Ax,,","x lt 1),(Ax^(2)+Bx+4,,","x ge 1):} If f is diffe...

    Text Solution

    |

  20. A twice differentiable function f: R to R satisfies sin x cos y(f(2x+2...

    Text Solution

    |