How do I differentiate common functions?

• These are the common results

How do I differentiate exponentials and logarithms?

• The two basic differentiation formulae are:

• From those basic formulae are derived these two additional formulae:

• And for exponentials more generally:

• This last formula can be derived from Formula 3 by using the?chain rule

How do I differentiate the reciprocal trigonometric functions?

• The formulae for the derivatives of the reciprocal trigonometric functions are:
• You can derive the derivatives for?sec,?cosec, and?cot?using the?chain rule and the derivatives of the basic trigonometric functions