\f15. Give brief answers. a] Is the derivative ofa sinusoidal function always periodic? Explain why? b] For the curve 9 = sir-x. explain where will the slope be 0. Sketch to explain. c] What is the name of the motion of a simple pendulum. d] Is 9 = sin: even or odd function? Explain. e] What will be the 19th derivative of gains. Show how a pattern develops and repeats