Home
Class 11
MATHS
f(x) is the integral of (2sinx-sin2x)/(...

`f(x) ` is the integral of `(2sinx-sin2x)/(x^3),x!=0.` Find `lim_(x->0)f^(prime)(x)[w h e r ef^(prime)(x)=(df)/(dx)]`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos
  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If f(x) is the integral of (2 sin x-sin 2 x)/(x^(3)), "where x" ne 0, "then find" underset(x rarr 0)("lim")f'(x) .

If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e n(d u)/(d v) is

If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e n(d u)/(d v) is

Find (lim)_(x->1)f(x),""w h e r e""f(x)=[x^2-1, xlt=1-x^2-1, x >1

If f(x)=|logx|,xgt0 ,find f^(prime)(1/e)a n df^(prime)(e)

A function f: R->R satisfies that equation f(x+y)=f(x)f(y) for all x ,\ y in R , f(x)!=0 . Suppose that the function f(x) is differentiable at x=0 and f^(prime)(0)=2 . Prove that f^(prime)(x)=2\ f(x) .

A function f: R->R satisfies that equation f(x+y)=f(x)f(y) for all x ,\ y in R , f(x)!=0 . Suppose that the function f(x) is differentiable at x=0 and f^(prime)(0)=2 . Prove that f^(prime)(x)=2\ f(x) .

If f(x)=|x|^(|sinx|), then find f^(prime)(-pi/4)

If f(x)=|x|^(|sinx|), then find f^(prime)(-pi/4)

If f(x)=|x|^(|sinx|), then find f^(prime)(-pi/4)

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. Use formula lim(x->0)(a^x-1)/x=log(a) to find lim(x->0)(2^x-1)/((1+x)^...

    Text Solution

    |

  2. Find ("lim")(xvec0){tan(pi/4+x)}^(1//x)

    Text Solution

    |

  3. f(x) is the integral of (2sinx-sin2x)/(x^3),x!=0. Find lim(x->0)f^...

    Text Solution

    |

  4. Evaluate underset (h to 0) lim ((a+h)^(2) sin (a+h) -a^(2) sin a)/h .

    Text Solution

    |

  5. lim(x -> oo)(x(log(x)^3)/(1+x+x^2)) equals 0 (b) -1 (c) 1 (d) no...

    Text Solution

    |

  6. ("lim")(xvec 0)((2^m+x)^(1/m)-(2^n+x)^(1/n))/xi se q u a lto 1/(m2^m)...

    Text Solution

    |

  7. ("lim")(xvec1)(1-x)tan(pix)/2=

    Text Solution

    |

  8. If f(x)={(sinx, x != npi " and " n in I2), (2, " x=npi):} and g(x)={(x...

    Text Solution

    |

  9. ("lim")(xvec0)[min(y^2-4y+11)(sinx)/x](w h e r e[dot]d e not e st h e ...

    Text Solution

    |

  10. underset(xto pi//2)lim(sin(xcosx))/(cos(xsinx)) is equal to

    Text Solution

    |

  11. If lim(xrarr0)(x^(-3)sin3x+a x^(-2)+b) exists and is equal to 0, then ...

    Text Solution

    |

  12. If lim(x->0)(x^n-sinx^n)/(x-sin^n x) is non-zero finite, then n must b...

    Text Solution

    |

  13. ("lim")(xvec1)((1-x)(1-x^2)...(1-x^(2n)))/({(1-x)(1-x^2)...(1-x^n)}^2)...

    Text Solution

    |

  14. The value of lim(x->0)([(100 x)/(sinx)]+[(99sinx)/x]) (where [.] repr...

    Text Solution

    |

  15. The value of ("lim")(xto1/(sqrt(2))) ((x-"cos" (sin^(-1)x))/ (1-tan(si...

    Text Solution

    |

  16. The value of lim(x->oo)((2^(x^n))^(1/e^x)-(3^(x^n))^(1/e^x))/(x^n) (w...

    Text Solution

    |

  17. Let lim(x->0)([x]^2)/(x^2)=l and lim(x->0)([x^2])/(x^2)=m , whe...

    Text Solution

    |

  18. ("lim")(xvec1)(xsin(x-[x]))/(x-1),w h e r e[dot] denotes the greatest ...

    Text Solution

    |

  19. ("lim")(x->0)[(sin(sgn(x)))/((sgn(x)))], where[dot] denotes the greate...

    Text Solution

    |

  20. lim(x->0) (2+2x+sin2x)/((2x+sin2x)e^sinx) is

    Text Solution

    |