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22 Cards in this Set
- Front
- Back
0 |
d/dx (c)
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n · x^(n-1)
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d/dx (x^n)
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e^x
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d/dx (e^x)
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f'(x) · g(x) + f(x) · g'(x) |
d/dx[ f(x) · g(x) ]
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[f'(x) · g(x) - f(x) · g'(x)]/ (g(x))²
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d/dx [ f(x) / g(x) ]
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cos x
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d/dx (sin x)
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- sin x
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d/dx (cos x)
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sec² (x) |
d/dx (tan x)
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sec (x) · tan (x)
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d/dx (sec x)
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- csc (x) · cot (x)
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d/dx (csc x)
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- csc² (x)
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d/dx (cot x)
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a^x · ln(a)
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d/dx (a^x)
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f'(g(x)) · g'(x)
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d/dx [ f(g(x)) ]
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1/x
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d/dx [ ln(x) ]
derivative of natural log of x |
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1/[x · ln(a)]
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d/dx [ log_a (x) ]
derivative of log base a of x |
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1/(1-x²)^(½)
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d/dx [ arcsin x]
or derivative of sine inverse |
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-1/(1-x²)^(½)
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d/dx [ arccos x]
or derivative of cosine inverse |
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1/(1+x²)
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d/dx [ arctan x]
or derivative of tangent inverse |
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Volume of a cylinder |
V=(area of the base) · height |
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Surface Area of a closed cylinder (ie. there is a top and bottom) |
SA = 2 (πr²) + (2πr)h |
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Volume of a box |
V = (area of the base) · (height) V = length · width · height |
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Surface area of a box let x = length, y = width, h = height |
SA = (area of the four sides) + (area of the two bases) SA= 2xy + 2yh + 2xh
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