Question

Find an equation of the line tangent to the graph of y=-4/(x^4) at the point (2,-4/16).

Answer 1

first find derivative of -4/(x^4)

Answer 2

16x^-5

Answer 3

same as
-4^(-4) use this rule a^n -> n*a^(n-1)

Answer 4

Then would that be -1/256?

Answer 5

16x^(-5) plug in 2 16*(2)^(-5)

Answer 6

16*(2)^(-5)=.5 that is your m

Answer 7

then do I plug in the y and x with the slope value to find b?

Answer 8

you are given (2,-4/16).
using y=mx+b
-4/16=.5*2+b and sfb -1.25

y=.5*x-1.25

Answer 9

yes :)

Answer 10

So the final answer is y=.5x-1.25, right?!

Answer 11

Thank you so much!!!

Answer 12

Yes