Find the derivative of each of the following using the most appropriate method. Simplify. a) f(x) = secxcscx c) y= -2* 5 tan3x e) f(x)=In[(x²-3)(2x+3)] b) f(x)=log2(3x² -5) d) y = 2 cos x³ f) f(x)=sin(cot (sec.x))

If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per second. What is the terminal velocity, and how long does it take the filter to reach 99 of terminal velocity? Use a table increment of 0.1 and given your answer to the nearest tenth of a second.