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Calc. Quick review
Question | Answer |
---|---|
d/dx (f*g)= | f'*g + f*g' |
d/dx (f/g)= | (f'*g - f*g')/g^2 |
d/dx [f(g)] = | f'(g) * g' |
d/dx (x^n) = | nx^-1 |
d/dx (sin x) = | cos x |
d/dx (cos x) = | -sin x |
d/dx (tan x) = | sec^2(x) |
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 (e^x) | e^x |
d/dx (a^x) | (ln(a))a^x |
d/dx (log(base a)^x) | 1/(ln a) * x |
Area of a rectangle | A=bh |
Area of a triangle | A=1/2 (b)(h) |
Area of a circle | A=pi r^2 |
Circumference of a circle | 2(pi)r |
Volume of a sphere | V= 3/4(pi)r^(3) |
Area of a sphere | 4(pi)r^2 |
Volume of a cylinder | V=(pi)r^2 |
Area of a cylinder | 2(pi)rh + 2(pi)r^2 |
<img src="http://www.danlemay.net/oxbow/images/study_stacks/def%20of%20e2.png"> | the derivative of y=e^x at x = 2 |