Home
Class 12
MATHS
Let f(x)=2^(2x−1)and ϕ(x) =−2^x+2xlog2. ...

Let f(x)=`2^(2x−1)`and ϕ(x) =`−2^x+2xlog2`. If f'(x)>ϕ'(x), then value of x is-

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

If f(x)=2x+1 , and f(x+2)+f(x)=x , the value of x is

Let f(x)=2^(2x-1)" and "g(x)=-2^(x)+2xlog2. Then the set of points satisfying f'(x)gtg'(x) , is

If f(x)=2x^(2)-4 and g(x)=2^(x) , the value of g(f(1)) is

If function f(x)=x^(2)+e^(x//2) " and " g(x)=f^(-1)(x) , then the value of g'(1) is

Let f(x)=x^2+xg^2(1)+g^''(2) and g(x)=f(1).x^2+xf'(x)+f''(x), then find f(x) and g(x).

Let f (x) =(x^(2) +x-1)/(x ^(2) - x+1), then the largest value of f (x) AA x in [-1, 3] is:

Let f (x) and g (x) be two differentiable functions, defined as: f (x)=x ^(2) +xg'(1)+g'' (2) and g (x)= f (1) x^(2) +x f' (x)+ f''(x). The value of f (1) +g (-1) is:

Let f(x)=x+1 and phi(x)=x-2. Then the value of x satisfying |f(x)+phi(x)|=|f(x)|+|phi(x)| are :

If f(x) = x^(2) and g(x) = (1)/(x^(3)) . Then the value of (f(x)+g(x))/(f(-x)-g(-x)) at x = 2 is

Let f (x)=(x+1) (x+2) (x+3)…..(x+100) and g (x) =f (x) f''(x) -f'(x) ^(2). Let n be the numbers of real roots of g(x) =0, then:

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. The value of ∫e^2x ( 1/x ​ − 1/(2x^2) ​ )dx is

    Text Solution

    |

  2. Statement 1: If the primitive of f(x)=pisinpix+2x-4 has the value 3 fo...

    Text Solution

    |

  3. Let f(x)=2^(2x−1)and ϕ(x) =−2^x+2xlog2. If f'(x)>ϕ'(x), then value of ...

    Text Solution

    |

  4. Evaluate: int(sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)sqrt(x)+cos^(-...

    Text Solution

    |

  5. If intx^2dote^(-2x)dx=e^(-2x)(a x^2+b x+c)+d , then the value of |a/(b...

    Text Solution

    |

  6. If f(x)=int(3x^2+1)/((x^2-1)^3)dxa n df(0)=0, then the value of |2/(f(...

    Text Solution

    |

  7. Evaluate: intsqrt((1-sqrt(x))/(1+sqrt(x)))dx

    Text Solution

    |

  8. "If "int x^(5)(1+x^(3))^(2//3)dx=A(1+x^(3))^(8//3)+B(1+x^(3))^(5//3)+c...

    Text Solution

    |

  9. The value of the integral int((1-costheta)^(2/7))/((1+costheta)^(9/7))...

    Text Solution

    |

  10. Let f(x)=int(x^2dx)/((1+x^2)(1+sqrt(x^2+1)))a n df(0)=0. Then value o...

    Text Solution

    |

  11. If y=intsqrt(x)(1+x^(1/3))^4dx"i se q u a lto"

    Text Solution

    |

  12. If intsqrt(1+sinx)f(x)dx=2/3(1+sinx)^(3/2)+c ,t h e nf(x)e q u a l co...

    Text Solution

    |

  13. Let inte^x{f(x)-f^(prime)(x)}dx=varphi(x)dot Then inte^xf(x)dx is

    Text Solution

    |

  14. Evaluate: int(sin2x)/(sin^4+cos^4x)dx

    Text Solution

    |

  15. int(secx)/(sqrt(cos2x))dx is equal to

    Text Solution

    |

  16. Evaluate : int(x^2+20)/((xsinx+5cosx)^2)dx

    Text Solution

    |

  17. int(x+2)/((x^2+3x+3)(sqrt(x+1))).dx

    Text Solution

    |

  18. Evaluate: int1/((x^2)sqrt(1-x^2))dx

    Text Solution

    |

  19. Evaluate:∫x⋅sqrt(1−x^4)dx

    Text Solution

    |

  20. Evaluate: int1/((x-3)sqrt(x+1dx))

    Text Solution

    |