4.1   Higher Order Derivatives 

Find higher order derivatives of algebraic, trigonometric, exponential and logarithmic functions.

Find the second derivatives of implicit, inverse trigonometric and parametric functions.

Use Maple command diff repeatedly to find higher order derivatives of function.

4.2   Maclaurin’s Series and Taylor Expansions. 

State Maclaurin’s and Taylor’s theorem (without remainder  terms). Use these theorems to expand sinx, cosx, tanx, a^x, e^x, log(1+x), and ln (1+x).