Question

find the equation of the line tangent to the graph of x^2+y^2=25 a the point (4,3)

find the equation of the line normal to the graph of 4y^2-xy=3 at the point (-1,-1).


if f(2)=3 and f'(2)=-1 find an equation of the tangent line when x=2.

Answer 1

use implicit differentiation

Answer 2

for all of them

Answer 3

for the first 2

Answer 4

once I use implicit differentiation do I just plug the points in for x and y

Answer 5

yes

Answer 6

use the general form of the line (for the tangenT:

y - y1 = m(x - x1)