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(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=

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