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22 Cards in this Set

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0

d/dx (c)
n · x^(n-1)
d/dx (x^n)
e^x
d/dx (e^x)

f'(x) · g(x) + f(x) · g'(x)

d/dx[ f(x) · g(x) ]
[f'(x) · g(x) - f(x) · g'(x)]/ (g(x))²
d/dx [ f(x) / g(x) ]
cos x
d/dx (sin x)
- sin x
d/dx (cos x)

sec² (x)

d/dx (tan x)
sec (x) · tan (x)
d/dx (sec x)
- csc (x) · cot (x)
d/dx (csc x)
- csc² (x)
d/dx (cot x)
a^x · ln(a)
d/dx (a^x)
f'(g(x)) · g'(x)
d/dx [ f(g(x)) ]
1/x
d/dx [ ln(x) ]
derivative of natural log of x
1/[x · ln(a)]
d/dx [ log_a (x) ]
derivative of log base a of x
1/(1-x²)^(½)
d/dx [ arcsin x]
or derivative of sine inverse
-1/(1-x²)^(½)
d/dx [ arccos x]
or derivative of cosine inverse
1/(1+x²)
d/dx [ arctan x]
or derivative of tangent inverse

Volume of a cylinder

V=(area of the base) · height

Surface Area of a closed cylinder


(ie. there is a top and bottom)

SA = 2 (πr²) + (2πr)h

Volume of a box

V = (area of the base) · (height)


V = length · width · height

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