Posted by **superdiver** on Tuesday, October 2, 2012 at 6:01am.

How do I solve this using the TERM BY TERM method?

If f(x)= (2x^2 - 5x - 3) / (3-x)

find f'(-8).

- calculus -
**Steve**, Tuesday, October 2, 2012 at 10:28am
separate the terms:

f(x) = 2x^2/(3-x) - 5x/(3-x) - 3/(3-x)

now use the quotient rule 3 times:

f'(x) = -2x(x-6)/(3-x)^2 - 15/(3-x)^2 - 3/(3-x)^2

However, this is a waste of time, since

(2x^2 - 5x - 3) = (x-3)(2x+1)

so, f(x) = -(2x+1)

f'(x) = -2 as long as x≠3

so, f'(-8) = -2

moral: see whether a function can be simplified before delving into long calculations.

## Answer This Question

## Related Questions

- calculus - How do I solve this using the TERM BY TERM method? If f(x)= (2x^2 - ...
- math - the 3rd term of a geometric progression is nine times the 1st term.if the...
- math - The third term of a geometric progressiom is nine times the first term.if...
- Maths - The 3rd term of an AP is 10 more than the first term while the fifth ...
- math - The 3rd term of a geometric progression is nine times the first term.if ...
- Maths - The sixth term of GP is 16 and the third term is 2.Find the first term ...
- maths - in an AP the third term is equal to five times the sixth term. the ...
- Math - The sixth term of an A.P. is 5 times the first term and the eleventh term...
- Arithmetic progession - The third term of an A.P is 10times more than the second...
- math - if 4th term of an arithmetic progression is 3 times the 1st term nd 7th ...

More Related Questions