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Calc Derivative Rule
| function f(x)1 | derivative |
|---|---|
| C^1 | 0 |
| X^n | nX^(n-1) |
| UV | U1*V+U*V1 |
| U/V | (U1*V-V1*U)/(V^2) |
| CF | C*f^1 |
| f+-g | f1+-g1 |
| e^x | e^x |
| sin(x) | cos(x) |
| cos(x) | -sin(x) |
| tan(x) | sec^2(x) |
| cot(x) | -csc^2(x) |
| sec(x) | sec(x)+tan(x) |
| csc(x) | -csc(x)+tan(x) |
| a^x | a^x log(a) |
| logX | 1/x |
| log(a)X | 1/(Xlog(a)) |
| arc sin (x) | 1/(sqrt(1-x^2)) |
| arc tan (x) | 1/(x^2+1) |
| arc sec(x) | 1/(1*1*sqrt(x^2-1)) |
| arc cos(x) | -1/(sqrt(1-x^2)) |
| arc cot(x) | -1/(1+x^2) |