- The Linear Approximation L X F A F A X A Is The Tangent Line To The Graph Of Y F X At The Point A F A It Has T 1 (24.99 KiB) Viewed 36 times
The linear approximation L(x)=f(a)+f′(a)(x−a) is the tangent line to the graph of y=f(x) at the point (a,f(a)). It has t
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The linear approximation L(x)=f(a)+f′(a)(x−a) is the tangent line to the graph of y=f(x) at the point (a,f(a)). It has t
The linear approximation L(x)=f(a)+f′(a)(x−a) is the tangent line to the graph of y=f(x) at the point (a,f(a)). It has the property that L(a)=f(a) and L′(a)=f′(a). a) Find the expression for the Quadratic approximation to the graph of y=f(x) at the point (a,f(a)),Q(x)=A+B(x−a)+C(x−a)2 so that Q(a)=f(a),Q′(a)=f′(a), and Q′′(a)=f′′(a) b) Use the result from part (a) to find the Linear and Quadratic approximations to the function f(x)=cosx at the point (0,1).
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