Question

Find the derivative

Answer 1

quotient rule!

((denominator * derivative of numerator) - (numerator * derivative of denominator))/ (denominator^2)

Answer 2

I got (6)/(x-1)^2
is this correct?

Answer 3

Try to factor out first if you can.

Answer 4

@Romero , you are right, x-4 cancels in the numerator and denominator

Answer 5

Then apply the rule given by @Puzzhang

Answer 6

\[\frac{x^2-5x+4}{x^2+x-20} =\frac{(x-4)(x-1)}{(x-4)(x+5)}\]

Answer 7

Cancel it out first then use quotient rule on
\[\frac{(x-1)}{(x+5)}\]

Answer 8

so 6/(x+5)^2?

Answer 9

yep!

Answer 10

ok thanks!