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unit 3 calc review
Slides and flashcards based on notes and review material
| Question | Answer |
|---|---|
| d/dx sin(x) | cos(x) |
| d/dx cos(x) | -sin(x) |
| d/dx tan(x) | sec^2(x) |
| sin^2(x)+cos^2(x) | 1 |
| d/dx cot(x) | -csc^2(x) |
| d/dx sec(x) | sec(x)tan(x) |
| d/dx csc(x) | -csc(x)cot(x) |
| d/dx -cos(x) | sin(x) |
| d/dx -sin(x) | -cos(x) |
| d^4y/dx^4 sin(x) | sin(x) |
| d^4y/dx^4 cos(x) | cos(x) |
| derivative of position | velocity |
| derivative of velocity | acceleration |
| absolute value of velocity | speed |
| chain Rule | f'(g(x))*g'(x) |
| product rule | f'(x)g(x)+f(x)g'(x) |
| quotient rule | (g(x)f'(x)-f(x)g'(x))/(g(x))^2 |
| dy/dx 3^x | 3^(x)ln3 |
| dy/dx log3(x) | 1/(xln3) |
| dy/dx log7(3) | 0 |
| dy/dx ln|x| | 1/x |
| dy/dx e^x | e^x |
| dy/dx ln(3x^(2)+1) | 6x/(3x^(2)+1) |
| dx/dy y=x^2 | x'=1/2x |
| d/dx 5 | 0 |
| d/dx -3x | -3 |
| d/dx 10x^3 | 30x^2 |
| d/dx √x | 1/(2√x) |
| d/dx 6x^(2)+1 | 12x |
Created by:
fercabbit
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