Question

Find an equation of the line tangent to the graph of y=3/x^4
at the point (5, 3/625).

Answer 1

we know the slope of the tan line at a given point is the first derivative... can you find the first derivative of this function?

Answer 2

If I'm right, I believe it's -12x^-3! Maybe!

Answer 3

to the -5 actually, my apologies!

Answer 4

find the derivitive of f(x)

call it f'(x)

plug in 5 f'(5) and that is your answer.

Answer 5

okay, can you confirm if the derivative I have no is right? I currently have -12x^-5

Answer 6

-12/x^5 yes it is right

Answer 7

so just -12/(5)^5

Answer 8

but I need a y=(answer) will this still work?

Answer 9

y=mx+b
3/625=(-12/3125)*5+b sfb 3/125

y=(-12/3125)x+3/125

Answer 10

YES! THANK YOU SO MUCH! I OWE YOU MY LIFE!

Answer 11

aww shucks :)