| Derivative | Answer | % Correct |
|---|---|---|
| [x]' | 1 | 97%
|
| [sin(x)]' | cos(x) | 97%
|
| [cos(x)]' | -sin(x) | 97%
|
| [tan^-1(x)]' | 1/(1+x^2) | 94%
|
| [ln(x)]' | 1/x, x>0 | 70%
|
| [ln|x|]' | 1/x, x≠0 | 70%
|
| [e^x]' | e^x | 65%
|
| [tan(x)]' | sec^2(x) | 63%
|
| [cot(x)]' | -csc^2(x) | 48%
|
| [sec(x)]' | sec(x)tan(x) | 45%
|
| [csc(x)]' | -csc(x)cot(x) | 41%
|
| [a^x]' | a^xln(a) | 23%
|
| [loga(x)]' | 1/(xln(a)), x>0 | 18%
|
| [sin^-1(x)]' | 1/sqr(1-x^2), D:(-1,1) | 6%
|
| [cos^-1(x)]' | -1/sqr(1-x^2), D:(-1,1) | 6%
|