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36 Cards in this Set
- Front
- Back
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d/dx (C) |
0 (derivative of C constant = 0) |
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d/dx [f(x) + g(x)] |
f'(x) + g'(x) |
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d/dx [f(x)g(x)] |
f(x)g'(x) + g(x)f'(x) |
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d/dx f(g(x)) |
f'(g(x))*g'(x) |
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d/dx [c f(x)] |
c f'(x) |
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d/dx [f(x) - g(x)] |
f'(x) - g'(x) |
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d/dx [f(x)/g(x)] |
( g(x)f'(x) - f(x)g'(x) ) / (g(x)^2) |
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d/dx (x^n) |
n * x^(n-1) |
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d/dx (e^x) |
e^x |
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d/dx (a^x) |
a^x ln (a) |
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d/dx ln |x| |
1/x |
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d/dx (log base(a) x) |
1 / x ln(a) |
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d/dx sin(x) |
cos (x) |
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d/dx cos(x) |
- sin (x) |
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d/dx tan(x) |
sec^2 (x) |
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d/dx csc (x) |
- csc(x) cot(x) |
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d/dx sec(x) |
sec(x) tan(x) |
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d/dx cot(x) |
- csc^2 (x) |
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d/dx (1/sin(x)) |
1 / sqrt(1 - x^2) |
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d/dx (1/cos(x)) |
- 1 / sqrt(1 - x^2) |
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d/dx (1/tan(x)) |
1 / (1+x^2) |
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d/dx (1/csc(x)) |
- 1/ x sqrt(x^2 - 1) |
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d/dx (1/cot(x)) |
- 1 / (1+x^2) |
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d/dx (1/sec (x)) |
1 / x sqrt(x^2 -1) |
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d/dx sinh (x) |
cosh (x) |
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d/dx cosh (x) |
sinh (x) |
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d/dx tanh (x) |
sech^2 (x) |
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d/dx csch (x) |
- csch (x) coth (x) |
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d/dx sech (x) |
- sech (x) tanh (x) |
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d/dx coth (x) |
- csch^2(x) |
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d/dx sinh^-1 (x) |
1/ sqrt(1+ x^2) |
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d/dx cosh^-1 (x) |
1/ sqrt(x^2 -1) |
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d/dx tanh^-1 (x) |
1/(1 - x^2) |
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d/dx csch^-1 (x) |
- 1/(|x| sqrt(x^2 + 1)) |
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d/dx coth^-1 (x) |
1/(1-x^2) |
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d/dx sech^-1 (x) |
- 1/ (x sqrt(1-x^2)) |
