Thinking of the scenario described by Question 1, will the light be blueshifted, redshifted, or not shifted at all?  What direction is the star moving relative to the observer in this type of scenario? 

Find the derivative of the function. Leave only positive exponents and fully simplify. y= 3x+1-x2+2{“version”:”1.1″,”math”:”y= 3x+1-x2+2″}

Find the derivative of the function. Leave only positive exponents. f(θ) = 6 cos(θ) – 3 tan(θ){“version”:”1.1″,”math”:”f(θ) = 6 cos(θ) - 3 tan(θ)”}

Let f(x) = sinx{“version”:”1.1″,”math”:”f(x) = sinx”} over -π2, π2{“version”:”1.1″,”math”:”-π2, π2″}. Find the value of (f-1)'(x){“version”:”1.1″,”math”:”(f-1)'(x)”} when x = 12{“version”:”1.1″,”math”:”x = 12″}

Find the derivative of the function. Leave only positive exponents and fully simplify. y = cot(ex) +5sec(5x){“version”:”1.1″,”math”:”y = cot(ex) +5sec(5x)”}

Find the derivative of the function. Leave only positive exponents and fully simplify. h(x) = ln3x-2cosx{“version”:”1.1″,”math”:”h(x) = ln3x-2cosx”}

Bonus: Find the derivative of f(x) = xxx{“version”:”1.1″,”math”:”f(x) = xxx”} (Hint: Logarithmic differentiation.)

Find the derivative of the function. Leave only positive exponents and fully simplify. f(t) = arccos(2t) – arctan(t2){“version”:”1.1″,”math”:”f(t) = arccos(2t) - arctan(t2)”}

Find the second derivative of the function f(x) = exsinx{“version”:”1.1″,”math”:”f(x) = exsinx”}

Find the derivative of the function. Leave only positive exponents. f(x) = 1-5x3sinx{“version”:”1.1″,”math”:”f(x) = 1-5x3sinx”}