Question

Write an equation for the line tangent to the circle x2 + y2 = 17, at the point (4, 1). Enter your answer in point-slope form: y - y1 = m(x - x1); example: y+3=-5(x-2)

Answer 1

y - 1 = f'(4)(x-4)

Answer 2

y1=1
x1=4
m=dy/dx at (4,1)

Answer 3

f'(x) creates 2 points of tangency to a circle

Answer 4

Dx{x^2 + y^2 = 17} = 2x + 2y.y' = 0

y' = -x/y ; at (4,1) .... ok, I forgot to read that single point part lol.

y-1 = -4(x-4)

Answer 5

i just did this prob!!