Home
Class 12
MATHS
If f is defined by f(x)=x^2, find f^(...

If `f` is defined by `f(x)=x^2,` find `f^(prime)(2)dot`

Text Solution

Verified by Experts

`f(x)=x^2`
`f'(x)=2x`
`implies f'(2)=2\times2`
`implies f'(2)=4`
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    RD SHARMA|Exercise Solved Examples And Exercises|403 Videos

  • DIFFERENTIAL EQUATION

    RD SHARMA|Exercise Solved Examples And Exercises|634 Videos

Similar Questions

Explore conceptually related problems

If f is defined by f(x)=x^(2), find f'(2)

If f: R->R is defined by f(x)=3x+2 , find f(f(x)) .

If f:R rarr R is defined by f(x)=x/(x^2+1) find f(f(2))

If f:RrarrR is defined by f(x)=5x+2 , find f(f(x)) .

Let f be as real valued function defined by f(x)=x^(2)+1. Find fprime ^(^^)(2)

Let f:DtoR , where D is the domain of f . Find the inverse of f if it exists: Let f:[0,3]to[1,13] is defined by f(x)=x^(2)+x+1 , then find f^(-1)(x) .

If f:RrarrR is defined by f(x)=3x+1 , find f(f(x)) .

If f:[1, oo) rarr [2, oo) is defined by f(x)=x+1/x , find f^(-1)(x)

If f:R rarr R is defined by f(x)=3x+2 define f[f(x)]

If f :R to R is defined by f (x) =(x )/(x ^(2) +1), find f (f(2))

RD SHARMA-DIFFERENTIABILITY-Solved Examples And Exercises
  1. Discuss the continuity and differentiability of f(x)=|log||x|dot

    Text Solution

    |

  2. If f is defined by f(x)=x^2-4x+7, show that f^(prime)(5)=2f^(prime)...

    Text Solution

    |

  3. If f is defined by f(x)=x^2, find f^(prime)(2)dot

    Text Solution

    |

  4. Find the derivative of the function f defined by f(x)=m x+c at x=0.

    Text Solution

    |

  5. Discuss the continuity and differentiability of f(x)=e^(|x|)dot

    Text Solution

    |

  6. If for the functionPhi(x)=lambdax^(2)+7x-4, phi (5) = 97, find lam...

    Text Solution

    |

  7. Examine the continuity f(x)={(3x-2,xlt=0), (x+1,x >0)} a t x=0 .

    Text Solution

    |

  8. The setoff points where the function f(x) given by f(x)=|x-3|cosx is d...

    Text Solution

    |

  9. If f(x)={(1-cosx)/(xsinx),x!=0 and 1/2,x=0 then at x=0,f(x) is (a)c...

    Text Solution

    |

  10. If f(x)={1/(1+e^((1,)/x)),x!=0 0,x=0,t h e nf(x) is continuous as well...

    Text Solution

    |

  11. If f(x)=|3-x|+(3+x), where (x) denotes the least integer greater than ...

    Text Solution

    |

  12. Let f(x)=a+b|x|+c|x|^4 , where a , ba n dc are real constants. Then, f...

    Text Solution

    |

  13. The function f(x)=(sin(pi[x-pi]))/(4+[x]^2) , where [] denotes the gre...

    Text Solution

    |

  14. Let f(x)={a x^2+1,x >1; x+1/2,x<=1.t h e n ,f(x) is derivable at x=1,...

    Text Solution

    |

  15. Show that the function defined by g" "(x)" "=" "x" "" "[x] is disco...

    Text Solution

    |

  16. Find all points of discontinuity of f, where f is defined by f(x)={2...

    Text Solution

    |

  17. If f(x)={x^2+3x+a ,xlt=1b x+2,forx >1 is everywhere differentiable, f...

    Text Solution

    |

  18. Let f(x)=|x| and g(x)=|x^3|, then (a)f(x)a n dg(x) both are continuou...

    Text Solution

    |

  19. Is |sinx| differentiable? What about cos|x|?

    Text Solution

    |

  20. Find the values of aa n db so that the function f(x)={x^2+3x+a ,ifxlt=...

    Text Solution

    |