functions
Calculus
Derivative Rules Cheat Sheet
Complete derivative rules cheat sheet with power rule, product rule, quotient rule, chain rule, and all differentiation formulas. Free PDF download for calculus students.
Basic Rules
| Name | Formula | Notes |
|---|---|---|
| Constant Rule | Derivative of a constant is zero | |
| Power Rule | Bring down the exponent, reduce by 1 | |
| Constant Multiple | Constants factor out | |
| Sum Rule | Derivative of sum is sum of derivatives | |
| Difference Rule | Derivative of difference is difference of derivatives |
Product & Quotient Rules
| Name | Formula | Notes |
|---|---|---|
| Product Rule | First times derivative of second plus second times derivative of first | |
| Quotient Rule | Low d-high minus high d-low over low squared |
Chain Rule
| Name | Formula | Notes |
|---|---|---|
| Chain Rule | Derivative of outer times derivative of inner | |
| General Power | Power rule with chain rule |
Trigonometric Derivatives
| Name | Formula | Notes |
|---|---|---|
| Sine | ||
| Cosine | ||
| Tangent | ||
| Cotangent | ||
| Secant | ||
| Cosecant |
Inverse Trigonometric Derivatives
| Name | Formula | Notes |
|---|---|---|
| Arcsine | ||
| Arccosine | ||
| Arctangent |
Exponential & Logarithmic
| Name | Formula | Notes |
|---|---|---|
| Natural Exponential | ||
| General Exponential | ||
| Natural Log | ||
| General Log |
Learn More
Need step-by-step solutions?
MathPad shows you how to solve problems, not just the answer.
Try MathPad Free