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Derivative Rules
| Term | Definition | null |
|---|---|---|
| Product rule: d/dx [f(x)g(x)] = | f(x)g’(x) + g(x)f’(x) | |
| Quotient Rule: d/dx [f(x)/g(x)] = | g(x)f’(x)-f(x)g’(x)/[g(x)]^2 | |
| Chain rule: d/dx [f(g(x))] = | f’(g(x))g’(x) | |
| d/dx[sin x] = | cosx | |
| d/dx[cos x] = | -sinx | |
| d/dx [tan x] = | sec^2x | |
| d/dx [cot x] = | -csc^2x | |
| d/dx [sec x] = | sec x tan x | |
| d/dx [csc x] = | -csc x cot x | |
| Constant rule: d/dx[c] = | 0 | |
| Power rule: d/dx [x^n] = | nx^n-1 |