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,

Umbrella Nov 3, 2019

#1**-1 **

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

ElectricPavlov Nov 3, 2019

#5**+1 **

I turned x into x^{-1 }which differentiates to -x^{-2 }which I then multiplied by the numerators (2x and -5). Is that wrong?

Umbrella
Nov 3, 2019

#6**0 **

It's x^{-1 }(x^{2}-5x-24) <===== take the derivative of THIS ( you see there is a term 24x^{-1 }you cannot discard this portion )

ElectricPavlov
Nov 3, 2019

#8**0 **

Look at the graph.....what do you think?

https://www.desmos.com/calculator/31job5ypvn

ElectricPavlov
Nov 3, 2019

#2**0 **

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?

ElectricPavlov Nov 3, 2019