Common Derivatives
Below is a table containing a list of common functions and their derivatives.
| f(x) | f ‘(x) |
|---|---|
| c (constant) | 0 |
| xn | nxn-1 |
| ln(x) | 1/x |
| ex | ex |
| eax | aeax |
| sin(x) | cos(x) |
| cos(x) | -sin(x) |
| tan(x) | sec2(x) |
| cosec(x) | -cosec(x)cot(x) |
| sec(x) | sec(x)tan(x) |
| cot(x) | -cosec2(x) |
| sin-1(x) |  |
| cos-1(x) |  |
| tan-1 |  |
| sinh(x) | cosh(x) |
| cosh(x) | sinh(x) |
| tanh(x) | sech2(x) |
| cosech(x) | -coth(x)cosech(x) |
| sech(x) | -tanh(x)sech(x) |
| coth(x) | -cosech2(x) |
| sinh-1(x) |  |
| cosh-1 |  |
| tanh-1 |  |
| a(x)b(x) | a’(x)b(x) + b’(x)a(x) |
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| a(b(x)) |  |
If there any more standard derivatives that I have missed out please leave them in the comments section 
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