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Calc Memory
Thing to remember from Calculus
| Question | Answer |
|---|---|
| d/dx(sin x) | cos x |
| d/dx(cos x) | -sin x |
| d/dx(tan x) | sec² x |
| d/dx(sec x) | sec x tan x |
| d/dx(cot x) | -csc² x |
| d/dx(csc x) | -csc x cot x |
| surface area of cylinder | 2πr(h+r) |
| volume of cylinder | π(r²)h |
| surface area of sphere | 4πr² |
| volume of sphere | (4/3)πr^3 |
| volume of cone | (1/3)π(r²)h |
| law of sines | (sin A)/a = (sin B)/b = (sin C)/c |
| law of cosines | a²=b²+c²-2ab(cos A) |
| ∫ sin(u) du | -cos(u) + C |
| ∫ cos(u) du | sin(u) + C |
| ∫ tan(u) du | -ln|cos(u)| + C |
| ∫ cot(u) du | ln|sin(u)| + C |
| ∫ sec(u) du | ln|sec(u) + tan(u)| + C |
| ∫ (sec(u)*tan(u)) du | sec(u) + C |
| ∫ csc(u)² du | -cot(u) + C |
| ∫ (-csc(u)*cot(u)) du | csc(u) + C |
| d/dx(sinˉ¹ u) | u'/√(1-u²) |
| dy/dx (tan‾¹ u) | u'/(1+u²) |
| dy/dx (sec‾¹ u) | u'/(x√(x²-1)) |
Created by:
flyingtoretilas
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