Question

find the equations for the tangent line and normal line to x^2+y^2=9 at (2, rad5)

Answer 1

What's rad5 supposed to mean

Answer 2

\[x ^{2}+y ^{2}=9 at (2, \sqrt{5)}\]

Answer 3

Find the derivative of the function first

Answer 4

i did that but what does it mean by normal line

Answer 5

Perpendicular to the tangent line

Answer 6

\[y=-x \div \sqrt{9-x ^{2}}\]

Answer 7

So find the derivative at the point (2,sqrt(5))

Answer 8

okay i found the tangent line
but how do you find the normal line?

Answer 9

If you have the slope of a line, how do you find the slope that's perpendicular to it?

Answer 10

negative reciprocal

Answer 11

i think i got it! thank you