Derivative of a constant
\[(C)'=0\]
NMT / ZNO
Formulas and reference
A compact mathematics reference in two levels: the NMT exam sheet and the full ZNO formula set.
NMT — exam reference sheet
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Algebra
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14 formulas
NMT mode
Shows only the compact set matching the NMT-2026 reference materials.
Derivative
Derivatives
Derivative of x
\[x'=1\]
Derivative of a power function
\[(x^\alpha)'=\alpha x^{\alpha-1}\]
Derivative of the square root
\[(\sqrt{x})'=\frac1{2\sqrt{x}}\]
Derivative of e^x
\[(e^x)'=e^x\]
Derivative of ln x
\[(\ln x)'=\frac1x\]
Derivative of sin x
\[(\sin x)'=\cos x\]
Derivative of cos x
\[(\cos x)'=-\sin x\]
Derivative of tg x
\[(\tg x)'=\frac1{\cos^2x}\]
Derivative
Differentiation rules
Derivative of a sum
\[(u+v)'=u'+v'\]
Derivative of a difference
\[(u-v)'=u'-v'\]
Derivative of a product
\[(uv)'=u'v+uv'\]
Derivative of a quotient
\[\left(\frac uv\right)'=\frac{u'v-uv'}{v^2}\]
Condition
\(v\ne0\)
Constant factor rule
\[(Cu)'=Cu'\]
No formulas match this search.
Trigonometric values table
| α | 0° | 30° | 45° | 60° | 90° | 180° | 270° | 360° |
|---|---|---|---|---|---|---|---|---|
| sin α | \(0\) | \(1/2\) | \(\sqrt2/2\) | \(\sqrt3/2\) | \(1\) | \(0\) | \(-1\) | \(0\) |
| cos α | \(1\) | \(\sqrt3/2\) | \(\sqrt2/2\) | \(1/2\) | \(0\) | \(-1\) | \(0\) | \(1\) |
| tg α | \(0\) | \(1/\sqrt3\) | \(1\) | \(\sqrt3\) | \(\text{—}\) | \(0\) | \(\text{—}\) | \(0\) |
Squares table 10–49
102 = 100
112 = 121
122 = 144
132 = 169
142 = 196
152 = 225
162 = 256
172 = 289
182 = 324
192 = 361
202 = 400
212 = 441
222 = 484
232 = 529
242 = 576
252 = 625
262 = 676
272 = 729
282 = 784
292 = 841
302 = 900
312 = 961
322 = 1024
332 = 1089
342 = 1156
352 = 1225
362 = 1296
372 = 1369
382 = 1444
392 = 1521
402 = 1600
412 = 1681
422 = 1764
432 = 1849
442 = 1936
452 = 2025
462 = 2116
472 = 2209
482 = 2304
492 = 2401