Question

Find the slope of the line tangent. y=[3x^3-4x^2+5]/[2x^2]; (2, (13/8))

Answer 1

divide

Answer 2

3/2x-2+(5/2x^2)
now what?

Answer 3

take the derivative and replace x by 2

Answer 4

how does the derivative look?

Answer 5

do you know how to find the derivative of
\[y=\frac{3}{2}x-2+\frac{5}{2x^2}\]?

Answer 6

i can write it if you like

Answer 7

yes please

Answer 8

\[y'=\frac{3}{2}-\frac{5}{x^3}\]

Answer 9

is the final answer 7/8?

Answer 10

i don't know i didn't do it
did you replace \(x\) by 2?

Answer 11

oh yes, you are right!

Answer 12

thanks!

Answer 13

yw