(1) A function is defined f(x) \equal{} \ln (x \plus{} \sqrt {1 \plus{} x^2}) for x≥0. Find f′(x).
(2) Find the arc length of the part 0≤θ≤π for the curve defined by the polar equation: r \equal{} \theta\ (\theta \geq 0).
Remark:
You may not directly use the integral formula of \frac {1}{\sqrt {1 \plus{} x^2}},\ \sqrt{1 \plus{} x^2} here. calculusintegrationfunctionlogarithmscalculus computations