Tabla de derivadas y primitivas
De Laplace
(Diferencias entre revisiones)
(→Derivadas) |
(→Derivadas) |
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! <math>\mathrm{d}f/\mathrm{d}x</math> | ! <math>\mathrm{d}f/\mathrm{d}x</math> | ||
|- | |- | ||
| - | | <math>C</math> | + | | <math>C\,</math> |
| - | | <math>0</math> | + | | <math>0\,</math> |
| - | | | + | | <math>\ln(x)\,</math> |
| - | | | + | | <math>\frac{1}{x}</math> |
|- | |- | ||
| - | | <math>x</math> | + | | <math>x\,</math> |
| - | | <math>1</math> | + | | <math>1\,</math> |
| - | | | + | | <math>\mathrm{sen}(x)\,</math> |
| - | | | + | | <math>\cos(x)\,</math> |
|- | |- | ||
| - | | <math>x^2</math> | + | | <math>x^2\,</math> |
| - | | <math>2x</math> | + | | <math>2x\,</math> |
| - | | | + | | <math>\cos(x)\,</math> |
| - | | | + | | <math>-\mathrm{sen}(x)\,</math> |
|- | |- | ||
| <math>\frac{1}{x}</math> | | <math>\frac{1}{x}</math> | ||
| <math>-\frac{1}{x^2}</math> | | <math>-\frac{1}{x^2}</math> | ||
| - | + | | <math>\mathrm{tg}(x)\,</math> | |
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| - | | <math>\mathrm{ | + | |
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| <math>\frac{1}{\cos^2(x)}</math> | | <math>\frac{1}{\cos^2(x)}</math> | ||
| - | |||
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|- | |- | ||
| - | | <math>\mathrm{arcsen}(x)</math> | + | | <math>x^n\,</math> |
| + | | <math>nx^{n-1}\,</math> | ||
| + | | <math>\mathrm{arcsen}(x)\,</math> | ||
| <math>\displaystyle\frac{1}{\sqrt{1-x^2}}</math> | | <math>\displaystyle\frac{1}{\sqrt{1-x^2}}</math> | ||
| - | |||
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|- | |- | ||
| - | | <math>\mathrm{arccos}(x)</math> | + | | <math>\mathrm{e}^x\,</math> |
| + | | <math>\mathrm{e}^x\,</math> | ||
| + | | <math>\mathrm{arccos}(x)\,</math> | ||
| <math>\displaystyle -\frac{1}{\sqrt{1-x^2}}</math> | | <math>\displaystyle -\frac{1}{\sqrt{1-x^2}}</math> | ||
| - | |||
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|- | |- | ||
| - | | <math>\mathrm{arctg}(x)</math> | + | | <math>\mathrm{a}^x\,</math> |
| + | | <math>\ln(a)\,\mathrm{a}^x</math> | ||
| + | | <math>\mathrm{arctg}(x)\,</math> | ||
| <math>\displaystyle\frac{1}{1+x^2}</math> | | <math>\displaystyle\frac{1}{1+x^2}</math> | ||
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|} | |} | ||
Revisión de 17:28 30 ago 2011
Derivadas
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