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(Solved): (9 points) (a) Find the local linearization of f(x)=11+5xf(x)=11+5x near x=0x=0: 11 ...



(9 points) (a) Find the local linearization of

f(x)=11+5xf(x)=11+5x

near x=0x=0:
11+5x?11+5x? 

(b) Using your answer to (a), what quadratic function would you expect to approximate g(x)=11+5x2g(x)=11+5x2?
11+5x2?11+5x2? 

(c) Using your answer to (b), what would you expect the derivative of 11+5x211+5x2 to be even without doing any differentiation?
ddx(11+5x2)???x=0=ddx(11+5x2)|x=0= 



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Given that a)f(x)=11+5xf(x)=11+5x. f(x)=1/1+5x. f(0)=1. Now,f'(x)=-1/(1+5x)^2
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