MATH-2114 Lecture 15: Introduction to Derivatives

The line x = 2 2t. y = 1. z = -2 + 3t is tangent 10 the surface z = f(z.y) at the point (2.1,-2). Find f (2.1).

y2 + ~2 at the point P( y2 - 2:2 e of change of the function 212 ersection of the surfaces 2 +42 2:227 nd 2. 1) along the curve in the directio increasing r. (b) Fiud the equations of the tangent line to the curve in (a) a the point P(3, -2. 1) he tangent line to the curve in (a) a the point P(3.-2.1)