Home
Class 12
MATHS
If f^(prime)(1)=-2sqrt(2) and g^(prime)(...

If `f^(prime)(1)=-2sqrt(2) and g^(prime)(sqrt(2))=4` , then the derivative of `f(tanx)` with respect to `g(secx)` at `x=pi/4,` is: (a)1 (b) `-1` (c) 2 (d) 4

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivative of f(tanx) with respect to g(secx) at x=pi/4, is 1 (b) -1 (c) 2 (d) 4

If f(1)=4 , f^(prime)(1)=2 , find the value of the derivative of log(f(e^x)) with respect to x at the point x=0 .

Find the derivative of f(tanx)wdotrdottg(secx)a tx=pi/4, where f^(prime)(1)=2a n dg^(prime)(sqrt(2))=4.

Find the derivative of f(tanx)wdotrdottg(secx)a tx=pi/4, where f^(prime)(1)=2a n dg^(prime)(sqrt(2))=4.

If int(x-1)/(x^2sqrt(2x^2-2x-1))dx = sqrt(f(x))/g(x) +c then the value of f(x) and g(x) is

If f(x) = x^(2) + x + 5 and g(x) = sqrt(x) , then what is the value of (g(4))/(f(1)) ?

If f^(prime)(x)=1/(-x+sqrt(x^2+1)) and f(0)=(1+sqrt(2))/2 then f(1) is equal to- (a) log"(sqrt(2)+1) (b) 1 (c) 1+sqrt(2) (d) none of these

If f(1)=1,f^(prime)(1)=2, then write the value of lim_(x->1)(sqrt(f(x))-1)/(sqrt(x)-1)

If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is (a)2 (b) 1 (c) -2 (d) none of these

If f(a)=2,f^(prime)(a)=1,g(a)=-1,g^(prime)(a)=2, then the value of lim_(x->a)(g(x)f(a)-g(a)f(x))/(x-a) is (a) -5 (b) 1/5 (c) 5 (d) none of these

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If in a triangle A B C ,(a+b+c)(b+c-a)=kdotb c ,t h e n:

    Text Solution

    |

  2. A round balloon of radius r subtends an angle at the eye of the observ...

    Text Solution

    |

  3. If f^(prime)(1)=-2sqrt(2) and g^(prime)(sqrt(2))=4 , then the derivati...

    Text Solution

    |

  4. Let a(n) be the nth term of an AP, if sum(r=1)^(100)a(2r)= alpha " and...

    Text Solution

    |

  5. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec axx...

    Text Solution

    |

  6. The fourth term of the sequence 1/(1+sqrt(x)),1/(1-x),1/(1-sqrt(x)), ...

    Text Solution

    |

  7. At the point P (a,a^(n)) on the graph of y=x^(n),(n in N), in the firs...

    Text Solution

    |

  8. Sum of all the numbers between 1 and 1000 which are divisible by 3 i...

    Text Solution

    |

  9. int(cos^3x)/(sqrt(sin^7x))dx= (a) 2/5dotcos e c^(7/2)x+2sqrt(cose c ...

    Text Solution

    |

  10. Given an A.P. whose terms are all positive integers. The sum of its fi...

    Text Solution

    |

  11. Evaluate: int1/(sin^4x+cos^4x)dx

    Text Solution

    |

  12. If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

    Text Solution

    |

  13. Evaluate: int(x+1)/(x(1+xe^x)^2)dx

    Text Solution

    |

  14. If the sequence a1, a2, a3,....... an ,dot forms an A.P., then prove ...

    Text Solution

    |

  15. If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)d ...

    Text Solution

    |

  16. The sum of the first three terms of an arithmetic progression is 9 and...

    Text Solution

    |

  17. int("sin"2"x")/(sin5x .sin3x)dx a.1/3ln|sin3x|+1/5ln|sin5x|+c b. ...

    Text Solution

    |

  18. A postman delivered daily for 42 days 4 more latters each day than on ...

    Text Solution

    |

  19. If int0^1tan^(-1)xdx=alpha,t h e nint0^(pi/4)tan^(-1)((2cos^2theta)/(...

    Text Solution

    |

  20. If in a triangle A B C , right angle at B ,s-a=3a n ds-c=2, then a=2,c...

    Text Solution

    |