MAT 21A Lecture Notes - Lecture 14: Implicit Function, Inverse Function, Talking Lifestyle 1278

cant seem to figure out part C

1) Use implicit differentiation to find the slope of the tangentline to the curve

at the point .

"Just need the answer"

2) Use implicit differentiation to find the equation of the tangentline to the curve at the point. The equation ofthis tangent line can be written in the form where is:

and where is:

"Just need the answers"

3) Use implicit differentiation to find the slope of the tangent lineto the curve

"Just need the answers"

1) Which of the following points does NOT reside on the graph of y^2=x+2?

A) (0,2?)


B) (?2,0)


C) (2,?2)


D) (2,2)


E) (?1,2)

2) Find x-coordinates of all points on [0,?], on the graph of the function f(x)=2sin2x?2cosx at which the tangent line is horizontal.

A) x=0,2?3,?


B) x=0,?3,?


C) x=2?3


D) x=?3


E) x=0,5?6,?

3) Use implicit differentiation to find dy/dx at the point P(2,1) for y^4+(x^2y^2)=y+4.

A) ?411


B) 4


C) 12


D) ?12


E) ?114