Week 6 - Differentiation

Question 1

a) Differentiate x^2. Does your code give you the answer you would expect?

b) Having investigated if our code works in situations we can calculate by hand (which is a good habit to get into the practice of) we now try something that would be more challenging. Differentiate x*tan(x^2). Is your answer of a form that would make sense?

Question 2

The double equals ‘==’ allows us to ask Mathematica a wide range of mathematical question we haven’t yet learned how to code. Use ‘==’ to give the Maclaurin Series of log((((x+5))^3)). (Recall: the Maclaurin Series is the specific case of a Taylor Series with the expansion about (Subscript[x, 0])=0)