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42 Cards in this Set
- Front
- Back
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The derivative of:
tan⁻¹(x) |
1 / (1+x²)
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The derivative of:
sin⁻¹(x) |
1 / √(1-x²)
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The derivative of:
sec⁻¹(x) |
1 / |x|√(x²-1)
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The derivative of:
cos⁻¹(x) |
-1 / √(1-x²)
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The derivative of:
cot⁻¹(x) |
-1 / 1+x²
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The derivative of:
csc⁻¹(x) |
-1 / ‖x‖√(x²-1)
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∫ dx / √(a²-x²)
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sin⁻¹(x/a) + c
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∫ dx / (x²-a²) dx
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(1/a) tan⁻¹(x/a) + c
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∫ dx / x√(x²-a²)
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(1/a) sec⁻¹|x/a| + c
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The derivative of:
sin(x) |
cos(x)
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The derivative of:
cos(x) |
-sin(x)
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The derivative of:
-sin(x) |
-cos(x)
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The derivative of:
-cos(x) |
sin(x)
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The derivative of:
tan(x) |
sec²(x)
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The derivative of:
sec(x) |
sec(x)tan(x)
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The derivative of:
-csc(x) |
csc(x)cot(x)
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The derivative of:
-cot(x) |
csc²(x)
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∫sin(x) dx
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-cos(x) + c
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∫cos(x) dx
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sin(x) + c
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∫sec²(x) dx
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tan(x) + c
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∫csc²(x) dx
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-cot(x) + c
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∫sec(x)tan(x) dx
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sec(x) + c
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∫csc(x)cot(c) dx
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-csc(x) + c
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The derivative of:
csch(x) |
-csch(x)coth(x)
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The derivative of:
cosh(x) |
sinh(x)
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The derivative of:
coth(x) |
-csch²(x)
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The derivative of:
tanh(x) |
sech²(x)
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The derivative of:
sinh(x) |
cosh(x)
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The derivative of:
sech(x) |
-sech(x)tanh(x)
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∫sinh(x) dx
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cosh(x) + c
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∫cosh(x) dx
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sinh(x) + c
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∫sech²(x) dx
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tanh(x) + c
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∫csch²(x) dx
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-coth(x) + c
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∫sech(x)tanh(x) dx
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-sech(x) + c
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∫csch(x)coth(x) dx
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-csch(x) + c
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1 - cos²(x) = ?
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sin²(x)
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1 - sin²(x) = ?
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cos²(x)
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sin²(x) + cos²(x) = ?
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1
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What is the half-angle formula for:
cos²(x) |
½(1 + cos(2x))
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What is the half-angle formula for:
sin²(x) |
½(1 - cos(2x))
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tan²(x) + 1 = ?
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sec²(x)
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1 + cot²(x) = ?
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csc²(x)
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