calculus

posted by .

Consider the function f(x) whose second derivative is f(x)=9x+6sin(x). If f(0)=4 and f(0)=3, what is f(x)? Please do not include the constant (+C) in your answer.

  • calculus -

    You wrote << f(0)=4 and f(0)=3,>> but
    both cannot be true. One of the f(x) functions must be the derivative, f'(x). Which is it?

    Anyway, all you have to do is integrate your f''(x) once and use the value of f'(x) at x=0 to get the first cosntant, and then integrate it again and use the value of f(0)at x=0 to get the second constant

  • calculus -

    oh im sorry it is f(0)=4 and f'(0)=3

  • calculus -

    and it's f''(x)=9x+6sin(x)
    sorry

  • calculus -

    i got the answer 1.5x^3-6sinx+9x+4

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus--> bobpursley

    How do you get m=0? from taking the second derivative?
  2. Math

    Consider the function f(x) whose second derivative is f(x)=10x+2sin(x). If f(0)=4 and f'(0)=4, what is f(x)?
  3. Math: Calculus

    Consider the function f(x) whose second derivative is f''(x) = 8x + 4sin(x). If f(0) = 2 and f'(0) = 2, what is f(x)?
  4. calculus

    Please help with this. I submitted it below but no one responded. I need the first derivative of f(x)=4(x+ then the square root to include (x(8-x)), then close bracket.And then the second derivative of this to show by the second derivative …
  5. math

    Consider the function f(x) whose second derivative is f''(x) = 5 x + 6 \sin (x). If f(0) = 4 and f'(0) = 2, what is f(x)?
  6. calculus

    Consider the function whose second derivative is f''(x)=7x+6sin(x). If f(0)=2 and f'(0)=3 , find f(x) .
  7. Calculus

    Consider the function f(x) whose second derivative is f''(x)=5x+2sin(x). If f(0)=3 and f'(0)=3, what is f(3)?
  8. Calculus2

    Consider the function f(x) whose second derivative is f''(x)=8x+4sin(x). If f(0)=3 and f'(0)=2, what is f(x)?
  9. Calculus Please Need Urgent2 :/

    Consider the function f(x) whose second derivative is f''(x)=8x+4sin(x). If f(0)=3 and f'(0)=2, what is f(x)?
  10. Calculus Antiderivatives

    Find a function whose derivative is a constant k

More Similar Questions