Original Function

**lisa1984wilson** · June 4th 2009, 06:12 AM

How would I get the original function for the first derivative given:

f'(x)=X^3(2x-7)^2(x+5)

it's not part of my assignment, just for general know how...sometimes it's just easier to solve equation with original function...thanks!

**Rapha** · June 4th 2009, 06:23 AM

Hello!

Originally Posted by lisa1984wilson

How would I get the original function for the first derivative given:

f'(x)=X^3(2x-7)^2(x+5)

it's not part of my assignment, just for general know how...sometimes it's just easier to solve equation with original function...thanks!

By integration!

In this case i would prefer

$x^3(2x-7)^2(x+5) = ... = 4x^6 - 8x^5 - 91x^4 + 245x^3$

$\int [4x^6 - 8x^5 - 91x^4 + 245x^3] dx$

This is pretty easy to integrate, do you know how to integrate?

$\int [4x^6 - 8x^5 - 91x^4 + 245x^3] dx = 4x^7/7 - 4x^6/3 - 91x^5/5 + 245x^4/4 + CONST = f(x)$

Kind regards
Rapha

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