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LaddiusMaximus

  • 3 years ago

find the linear approximation of the fnct f(x)=sqrt(1-x) at a=0 and use it to approximate the numbers (sqrt0.9) and (sqrt0.99)

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  1. myininaya
    • 3 years ago
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    So do you know how to find the tangent line at x=0?

  2. myininaya
    • 3 years ago
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    \[y=mx+b <--\text{ line} \] m=f ' (x=a)=f ' (x=0)=f ' (0) You need to find f ' (x). Then evaluate f ' (x) at x=0. y=f ' (0) x + b We still need to find b though. But we are given a point on this line (0,f(0)) What is f(0)? We will plug in what we know to find what b is: f(0)=f ' (0) * 0 +b f(0)=b SO great.We have the tangent line here at x=0 is y=f ' (0) x + f(0)

  3. myininaya
    • 3 years ago
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    Let me know when you find what f ' (0) and f(0) is, then I will give you further assistance.

  4. LaddiusMaximus
    • 3 years ago
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    i was showed some different L(x)= f(a)+f'(a)(x-a)

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