Differentiation Rules

Abstract

Constant, power, sum, product, quotient, chain, and exponent/log rules are the "basic" rules
Ones that I forget easily:
Trig:
- , but
- , but
- (stays with itself + tan)
- (co- produces negative)
- , and
- For all hyperbolic, similar rules to the standard trig functions apply, except doesn't produce a negative, and produces a without square.

Rules for calculating The Derivative

Constant function rule
- If , where , then
Power Rule
- If , where , then
Constant Multiple Rule
- If , where then
Sum/Difference Rule
- If , then
Product Rule
- If , then
- Also,
Quotient Rule
- If , then
Chain Rule
- If and are differentiable functions and , then
- Note that then, may also require to chain rule again.
Chain Rule With the Power Rule
- If where , then
Exponents and logarithm Rules
Trigonometric Rules
- Trig Functions
  - Cosine always produces negative
- Inverse Trig Functions
- Reciprocal Trig Functions
- Hyperbolic Trig Functions

Deriving

If , where is a constant, determine

If , determine