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

1. ## 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))

2. ## Re: Spring Break HW... No tutoring available at Univ. Tangent Line Approx.

Can you show us what you've tried for each question please?

3. ## 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

4. ## Re: Spring Break HW... No tutoring available at Univ. Tangent Line Approx.

It's supposed to be $\displaystyle e^0 + e^0 \left( x - 0 \right)$.

5. ## Re: Spring Break HW... No tutoring available at Univ. Tangent Line Approx.

Wouldn't that simplify to 1+x?

6. ## 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...