The linearization of a function f(x) at x=4 is given by L(x)=4+2x.

(a) Find f(4)= ____________

(b) Find f′(4)= ____________

Question

The linearization of a function f(x) at x=4 is given by L(x)=4+2x. 

(a) Find f(4)=  ____________ 

(b) Find f′(4)=  ____________

tkhunny · Answer

The function, f(x), and its linearization, L(x), have the same value at the point of linearization.

f(4) = L(4)

The derivative of a function, f(x), and the slope of its linearization are the same at the point of linearization..

f'(4) = 2

goformit100 · Answer

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