Thursday

April 24, 2014

April 24, 2014

Posted by **travis** on Saturday, November 3, 2012 at 11:51am.

So i turn f''(x) into (3x^3 - 5x^2 + 1)(x^-2) and multiply to get f''(x) = 3x - 5 + x^-2

So f'(x) = (3/2)x^2 - 5x - (1/x) + c

And f(x) = (1/2)x^3 - (5/2)x^2 - ln(x) + cx + d

Not really sure what to do from here, and when plugging in -1 to ln(x) I encounter a problem. Thanks for any help

- calculus -
**Steve**, Saturday, November 3, 2012 at 12:26pmThe math looks odd, but the answer is correct as far as you go.

Now go back to your boundary conditions, f(1) and f(-1)

I think you better change ln(x) to ln|x| while you're at it, or ln(-1) is not defined.

0 = 1/2 - 5/2 - 0 + c + d

1 = (-1/2) - 5/2 - 0 - c + d

c = -1, d=3, so

f(x) = 1/2 x^3 - 5/2 x^2 - x + 3 - ln|x|

**Related Questions**

calculus derivatives - Please confirm: {(5x+2)^4/x^2-3x+1)^3}= 20(5x+2)^2(x^2-3x...

Math - Can someone please check my answers below for accurateness? The ...

CALCULUS - evaluate the integral of (e^3x)(cosh)(2x)(dx) A.(1/2)(e^5x)+(1/2)(e^x...

Calculus derivative - Find the slope and an equation of the tangent line to the ...

Calculus (double check my anser please) - Evaluate integral e^3x cosh 2x dx. A.1...

Pre-calculus - fraction 1) 5/12+7/18-5/6 2) 3x/x-1-1/x=_____/x^2-1x 3) x+1/x^2-...

algebra1/McDougal Littell - I need to know how to work this problem and show my ...

Math - AlgebrAic factorization 1)6(2a-3)(a+7)+18(2a-3)(3a+2) 2) (3x-4)(5x+1)-(...

math - Logarithm 3^3x+1=3^5x-2 3^3x+1-3^5x-2=0 Log(3^3x+1-3^5x-2)=log0 Please ...

algebra - Can someone please help me with this one? Solve (5x+4)^1/2-3x=0 Just ...