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Math Help - Spring Break HW... No tutoring available at Univ. Tangent Line Approx.

  1. #1
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    Spring Break HW... No tutoring available at Univ. Tangent Line Approx.

    I have tried to use the f(x) is aprox f(a) + f'(a)(x-a) Equation for this.. but I just can seem to get it to work.

    What are the tangent line approximations to the following functions near x=0?

    A) e^x
    B) sin(x*p)
    C) ln(2+x)
    D)1/(sqrt(1+x))
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    Re: Spring Break HW... No tutoring available at Univ. Tangent Line Approx.

    Can you show us what you've tried for each question please?
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    Re: Spring Break HW... No tutoring available at Univ. Tangent Line Approx.

    Well...

    With e^x I used f'(e^x) is e^x so plugging it into the equation I got e^0 + e^x(x-0)

    The equation I used is f(x) is approx f(a)+f'(a)(x-a) and I used 0 for a. So the answer I plugged in was 1+xe^x
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    Re: Spring Break HW... No tutoring available at Univ. Tangent Line Approx.

    It's supposed to be \displaystyle e^0 + e^0 \left( x - 0 \right) .
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    Re: Spring Break HW... No tutoring available at Univ. Tangent Line Approx.

    Wouldn't that simplify to 1+x?
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    Re: Spring Break HW... No tutoring available at Univ. Tangent Line Approx.

    Yes it would. This is an answer that makes a lot more sense, considering it's actually the equation of a line, unlike your first answer...
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