| Keyword | CPC | PCC | Volume | Score | Length of keyword |
|---|---|---|---|---|---|
| wolfram alpha linear equation calculator | 1.16 | 1 | 7226 | 11 | 40 |
| wolfram | 1.2 | 0.3 | 8127 | 26 | 7 |
| alpha | 1.15 | 0.6 | 9806 | 53 | 5 |
| linear | 1.63 | 1 | 1909 | 73 | 6 |
| equation | 1.53 | 0.7 | 2253 | 28 | 8 |
| calculator | 0.34 | 0.6 | 1559 | 24 | 10 |
| Keyword | CPC | PCC | Volume | Score |
|---|---|---|---|---|
| wolfram alpha linear equation calculator | 1.02 | 0.5 | 1003 | 83 |
| wolfram alpha linear equation solver | 1.22 | 0.8 | 1211 | 2 |
| system of equation calculator wolfram alpha | 1.05 | 0.7 | 4805 | 33 |
| wolfram alpha system of equations calculator | 1.71 | 0.1 | 2396 | 89 |
| wolfram alpha systems of equations calculator | 1.04 | 1 | 1379 | 49 |
| wolfram alpha system of linear equations | 1.58 | 0.9 | 3729 | 68 |
| wolfram alpha solve equation | 0.15 | 0.6 | 838 | 49 |
| equation solver wolfram alpha | 0.58 | 0.3 | 1552 | 88 |
| math calculator wolfram alpha | 1.33 | 0.3 | 79 | 63 |
| wolfram alpha calculator algebra | 1.05 | 0.6 | 3815 | 97 |
| wolfram alpha equation system | 1.69 | 0.8 | 6006 | 5 |
| online calculator wolfram alpha | 0.08 | 0.5 | 2864 | 71 |
| wolfram alpha online equation solver | 0.81 | 0.2 | 1312 | 1 |
| wolfram alpha function calculator | 1.15 | 0.5 | 8480 | 24 |
Wrong Wolfram alpha result? This is not strictly a calculation error, but an implicit (and in this case, wrong) assumption in the calculation algorithm that the function is differentiable. If Wolfram|Alpha calculated directional derivatives using the limit definition instead of the gradient definition, it would have given the correct result.
