For a), I got the answer as -2x^2^-2 +5x^-2. Is this correct? And as for part b), I don't know how to do it. Please help, thanks,
First, simplify it to
(x^2-5x-24)/x
x-5 - 24/x
x-5- x^-1 (24) now take the derivative
1+24 (x^-2) re-arrange
(x^2+24)/x^2
I turned x into x-1 which differentiates to -x-2 which I then multiplied by the numerators (2x and -5). Is that wrong?
It's x-1 (x2-5x-24) <===== take the derivative of THIS ( you see there is a term 24x-1 you cannot discard this portion )
Look at the graph.....what do you think?
https://www.desmos.com/calculator/31job5ypvn
The point C will be x = 2
y = (2+3)(2-8) /2 = -15 2,-15
the slope (m) is given by the derivative at x = 2
Then just use y = mx + b to find your line.....can you do that?