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Calc 3.4-3.7
flash cards and slides for units 3.4-3.7 of Wheeler calc
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 | sinx |
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 |