Question

Differentiation help

Answer 1

\[\LARGE \frac{d}{dx}(\frac{x^4+x^2+1}{x^2-x+1})=\lambda x+c\]
then find \[\LARGE \lambda\]

Answer 2

integrate both sides

Answer 3

It would be easier to differentiate the left side.

Answer 4

Well -- I suppose you could really do either.

Answer 5

"easy to differentiate LHS" are u serious?

Answer 6

It's a simple application of the quotient rule. The fact that there are three terms makes it look longer, but it isn't any harder.

Answer 7

If the algebra scares you, then go the other route and integrate both sides.

Answer 8

it is impossible to simplify after differentiation

Answer 9

That's what I meant about the algebra being tedious. It's not hard to do, it's just irritating to simplify. So integrate it.

Answer 10

With that being said, if you know how to divide polynomials, that's how I would do it before taking the derivative.

Answer 11

after integrating simply compare coefficients and solve c and lanbda