Communication (12 marks) 2. a) Consider the function y = sinx . State the following derivatives: (3 marks) i ) y' = ii) y" = iii) y" = (3rd derivative) b) Use the patterns from above to determine y("9) , the 99th derivative. (Explain your answer) (2 marks) 3. True/False Statements: Indicate whether the statement is true or false. (7 marks) The derivative of a sinusoidal function is another sinusoidal function. A sinusoidal function can be differentiated only if the independent variable is measured in radians. There is an infinite number of tangents with a given non-zero slope to a sinusoidal curve. The rate of change to a sinusoidal function is periodic in nature. Another way of expressing In x is log, x F The nth derivative of y = ex will always be ex - Ify = ef (x) , then y' = efl (x)Application (12 marks) 6. a) Find the critical value(s) of f (x) = x + 2sin(x) on the interval 0 S x S 2n WI your answer) b) Classify each critical value as a minimum, maximum, or stationary point. (Explain NI