Home
Class 12
MATHS
Let y=tan^(-1)((2cos(3x^2-2)+5sin(3x^2-2...

Let `y=tan^(-1)((2cos(3x^2-2)+5sin(3x^2-2))/(5cos(3x^2-2)-2sin(3x^2-2))),t h e n(dy)/(dx)=` `6x-2` (b) `6x` `5x` (d) `(6x)/(x^2+1)`

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 y= 2x^6 + sin 3x then dy/dx

If y=2x^(3)+3x^(2)+6x+1 , then (dy)/(dx) will be -

int(6x-5)/(sqrt(3x^2-5x+1))dx

cos 6x = cos ^(2) 3x - sin ^(2) 3x

int(5cos^3x+7sin^3x)/(3sin^2xcos^2x)dx

If y=6 x^(5)-4x^(4)+2x^(2)+3x+2 , then find (dy)/(dx) at x=-1.

If y= "tan"^(-1) (4x)/(1+5x^(2)) + "tan"^(-1) (2 + 3x)/(3-2x) , then prove that (dy)/(dx)= (5)/(1+25x^(2))

If y = sqrt((cos x - sin x)(sec 2x + 1)(cos x + sin x)) , Then (dy)/(dx) at x = (5 pi)/(6) is :

If y = sqrt((cos x - sin x)(sec 2x + 1)(cos x + sin x)) , Then (dy)/(dx) at x = (5 pi)/(6) is :

Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If the sum of first 16 terms of the series s=cot^(-1)(2^2+1/2)+cot^(-1...

    Text Solution

    |

  2. If two chords of circle x^2+y^2-a x-b y=0 , drawn from the point (a, b...

    Text Solution

    |

  3. Let y=tan^(-1)((2cos(3x^2-2)+5sin(3x^2-2))/(5cos(3x^2-2)-2sin(3x^2-2))...

    Text Solution

    |

  4. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |

  5. If y is a function of x and log(x+y)-2x y=0, then the value of y^(prim...

    Text Solution

    |

  6. If (log)(10)(1025)/(1024)=alphaa n d(log)(10)2=beta , then the value o...

    Text Solution

    |

  7. The vector hat i+x hat j+3 hat k is rotated through an angle theta an...

    Text Solution

    |

  8. Leg P(x)=|7 6x-10 2x-10 5x-10 3 4|, sum of zeroes of P(x) is (a) 30...

    Text Solution

    |

  9. The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cot(x/...

    Text Solution

    |

  10. The solution set of inequality ((e^(x)-1)(2x-3)(x^(2)+x+2))/((sinx-...

    Text Solution

    |

  11. Let f(x)={sin(pix)/2,0lt=x<1 3-2x ,xgeq1 f(x) has local maxima...

    Text Solution

    |

  12. The product cot123^@*cot133^@*cot137^@*cot147^@, when simplified is e...

    Text Solution

    |

  13. The gradient of the common tangent to the two curves y=x^2-5x+6 and y=...

    Text Solution

    |

  14. Orthocentre of an acute triangle A B C is at the orogin and its circum...

    Text Solution

    |

  15. y=f(x) is a continuous function such that its graph passes through (a ...

    Text Solution

    |

  16. Consider the statement p: 'New Delhi is a city'. Which of the followin...

    Text Solution

    |

  17. If y=sin^(-1)(xsqrt(1-x)+sqrt(x)sqrt(1-x^2)) and (dy)/(dx)=1/(2sqrt(x(...

    Text Solution

    |

  18. The equation of the altitude of the triangle ABC whose vertices are A(...

    Text Solution

    |

  19. ("lim")(xvecpi/2)(a^(cotx)-a^(cosx))/(cotx-cosx)i se q u a lto ln a ...

    Text Solution

    |

  20. Comprehension (Q. 5 & 6) Let A B be any chord of the circle x^2+y^2-2x...

    Text Solution

    |