Friday

March 6, 2015

March 6, 2015

Posted by **Daniel** on Tuesday, December 6, 2011 at 2:07am.

F''(x) = 4 + 6x + 24x^2, f(0) = 3, f(1)=10

Not sure how to find the value of the constant for F'(x).

- calculus -
**drwls**, Tuesday, December 6, 2011 at 2:42amIt is not clear if you want F'(x) or whatever you call f(x).

F'(x) = integral of F"(x)

= 4x + 3x^2 + 8x^3 + C

where C is any constant

F(x) = 2x^2 + x^3 + 2x^4 + Cx + C'

where C' is a different constant.

You could choose C and C' to make F(0) = 3 and F(1) = 10, but the problem does not ask for F(x)

F(0) = 3 = C

F(1) = 2 + 1 + 2 + 3 + C' = 10

C' = 2

F(x) = 2x^2 + x^3 + 2x^4 + 3x + 2

**Answer this Question**

**Related Questions**

Calculus - Find the anti derivative of the following: 1. u^-2(1-u^2+u^4)du 2. (...

Calculus - Find the anti derivative of u^-2(1-u^2+u^4)du. Need steps so I can ...

Calculus - Find f(x) so that it satisfies: f'(x)=1/sqrt(x) and f(4)=2. Please ...

anti derivative - please help me find anti derivative of -sinx * cos^2x am i ...

Calculus - Y=5x^4 -24x^3+24x^2+17 is concave down for which interval? A) x<0...

calc - find the area between the x-axis and the graph of hte given function over...

Calculus--> bobpursley - How do you get m=0? from taking the second ...

calculus - Find the anti-derivative of x^4... Isn't it 4x^3+c? Please help... ...

algebra - Did I do this problem the correct way if so is there a shorter way to ...

Calculus - Find the anti derivative of (u^-2(1-u^2+u^4)du. Need steps so I can ...