# Partial Fraction Differentiation

• February 24th 2008, 05:14 AM
Stylis10
Partial Fraction Differentiation
i have the fraction

f(x) = (x-8)/(x+2)(2x-1)

part (a) was to to express that into a partial fraction n i got

2/(x+2) - 3/(2x-1)

part (b) says
Find f'(0)

my question for part (b) is do i differentiate the original fraction or the partial fraction i found in part (a)???
• February 24th 2008, 05:20 AM
wingless
$f(x) = \frac{x-8}{(x+2)(2x-1)}$

$f(x) = \frac{2}{x+2} - \frac{3}{2x-1}$

They are different expressions of the same function. It doesn't matter which one you differentiate, you'll get the same result. Try and see (Smile)