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Calc Midterm Hell
Calc Midterm Flashcards Memorize them!
| Term | Definition |
|---|---|
| sec²(x) | tan²(x)+1 |
| d/dx sec(x) | sec(x)*tan(x) |
| d/dx b^x | b^x *ln(b) |
| d/dx e^x | e^x |
| d/dx x^n | n*x^n-1 |
| d/dx csc(x) | -csc(x)*cot(x) |
| d/dx arcsin(x) | 1/x√x²-1 |
| sec(x) | 1/cos(x) |
| cot²(x) | csc²(x) |
| d/dx tan(x) | sec²(x) |
| d/dx cos(x) | -sin(x) |
| d/dx (f(x)+g(x)) | f¹(x)+g¹(x) |
| d/dx ln(|x|) | 1/x |
| d/dx (c*f(x)) | c*f¹(x) |
| sin²(x) | 1-cos²(x) |
| d/dx C | 0 |
| d/dx arctan(x) | 1/1+x² |
| d/dx arccos(x) | -1/√1-x² |
| d/dx f(x)*g(x) | f¹(x)*g(x)+g¹(x)*f(x) |
| d/dx (f(x)-g(x)) | f¹(x)-g¹(x) |
| d/dx logb(x) | (1/x)*(1/ln(b)) |
| csc(x) | 1/sin(x) |
| d/dx (f(x)/g(x)) | f¹(x)*g(x)-g¹(x)*f(x)/(g(x))² |
| ln(x)/ln(a) | loga(x) |
| d/dx f(g(x)) | f¹(g(x))*g¹(x) |
| d/dx sin(x) | cos(x) |
| inverse of tan(x) | arctan(x) or tan^-1 (x) |
| inverse of cos(x) | arccos(x) or cos^-1 (x) |
| inverse of sin(x) | arcsin(x) or sin^-1 (x) |
| ln(AB/C) | ln(A)+ln(B)-ln(C) |
| ln(A^B) | B*ln(A) |