A square zero matrix hru. no eigen

Lecture 22: Linear Approximations (Section 4.1) We have seen that a cury ve= f(x)clyllwssa- gent line at a point (a,f(a)). That is, we can approximate aote f(x)of x near a by the corresponding function value on the tangent line. Find the equation of the tangent line to y = f(x)at( a,f(a)): y = f(x) (a,f(a)) The linearization of f at a is the linear function L(x)= Forx-values near a,w eoeht This is the Tangent line or Linear approximation of f at a.