Function Composition and Anti-derivatives A1! 1 In sections 5.1 - 5.4, we've taken antideriyatives that are essentially only "derivative rules in reverse.'I One of the things that we'll be doing throughout the quarter is building our anti-derivative techniques beyond this situation. In section 5.5, we will work with a technique called integration by substitution. This technique is essentially "chain rule for derivatives, but in reverent?!I Task: Answer the following questions in the text-box below. Number your answers in a similar way to how I numbered the questions. Use the math editor{ the VE button] to create any mathematical expressions. 1. Create an equation f (:12) that you can nd the anti-derivative of, and a function g (to) that you can nd the derivative of. At least one of them must not be a polynomial. 2. Now use your functions to create f {:g (3]) g' (3:) You do not need to simplify or expand. 3. Based on what you know about the chain rule of derivatives, what should be the antiderivative of the composition function you created in question 2? There is no need to reply to others' posts. unless you want to comment on the impressiveness of their function. :}