Introduction to Differential Calculus Formulas

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71 Terms

1
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x³

(x) (x) (x)

2
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x^(m+n)

x^m . x^n

3
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x^m-n

x^m/x^n

4
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x^mn

(x^m)^n

5
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x^m . y^m

(x . y)^m

6
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x^m/y^m

(x/y)^m

7
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1

x^m/x^m

8
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1

x^0

9
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1/x^-n

x^n

10
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1/x^n

x^-n

11
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n√a

a^1/n

12
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n√a^m

a^m/n

13
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1/n√a^m

a^-m/n

14
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2

index of √a

15
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a

n√a^n

16
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n√ab

n√a . n√b

17
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mn√a

m√n√a

18
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n√a/b

n√a/n√b

19
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logx+logy

log(xy)

20
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logx-logy

log(x/y)

21
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nlogx

logx^n

22
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1/nlogx

log n√x

23
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logx/logb

logb^x

24
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1

logb^b

25
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0

logb^1

26
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0°

zero angle

27
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between 0° and 90°

acute angle

28
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90°

right angle

29
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between 90° and 180°

obtuse angle

30
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180°

straight angle

31
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360°

a revolution

32
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opposite/hypotenuse

sin A (fundamental Trigonometric functions)

33
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hypotenuse/opposite

csc A (fundamental Trigonometric functions)

34
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adjacent/hypotenuse

cos A (fundamental Trigonometric functions)

35
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hypotenuse/opposite

sec A (fundamental Trigonometric functions)

36
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opposite/adjacent

tan A (fundamental Trigonometric functions)

37
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adjacent/opposite

cot A (fundamental Trigonometric functions)

38
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1/csc A

sin A (Reciprocal Relations)

39
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1/sec A

cos A (Reciprocal Relations)

40
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1/cot A

tan A (Reciprocal Relations)

41
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1/sin A

csc A (Reciprocal Relations)

42
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1/cos A

sec A (Reciprocal Relations)

43
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1/tan A

cot A (Reciprocal Relations)

44
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sinA/cosA

tan A (Quotient Relations)

45
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cosA/sinA

cot A (Quotient Relations)

46
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1

sin²A+cos²A (Pythagorean Relations)

47
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sin²A+cos²A

1 (Pythagorean Relations)

48
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tan²A+1

sec²A (Pythagorean Relations)

49
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sec²A

tan²A+1 (Pythagorean Relations)

50
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1+cot²A

csc² A (Pythagorean Relations)

51
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csc² A

1+cot²A (Pythagorean Relations)

52
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1-sin²A

cos²A (Pythagorean Relations)

53
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cos²A

1-sin²A (Pythagorean Relations)

54
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1-cos²A

sin²A (Pythagorean Relations)

55
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sin²A

1-cos²A (Pythagorean Relations)

56
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csc²A-1

cot²A (Pythagorean Relations)

57
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cot²A

csc²A-1 (Pythagorean Relations)

58
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tan²A

sec²A-1 (Pythagorean Relations)

59
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sec²A-1

tan²A (Pythagorean Relations)

60
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sinAcosB+cosA+sinB

sin(A+B) (Sum and Difference of Two Angles)

61
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sinAcosB-cosA+sinB

sin(A-B) (Sum and Difference of Two Angles)

62
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cosAcosB-sinAsinB

cos(A+B) (Sum and Difference of Two Angles)

63
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cosAcosB+sinAsinB

cos(A-B) (Sum and Difference of Two Angles)

64
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(Sum and Difference of Two Angles)

65
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tanA-tanB/1+tanAtanB

tan(A-B) (Sum and Difference of Two Angles)

66
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tanA-tanB/1-tanAtanB

tan(A+B) (Sum and Difference of Two Angles)

67
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2sinAcosA

sin2A (Double Angle Formula)

68
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cos²A-sin²A, 1-2sin²x, 2cos²x-1

cos2A (Double Angle Formula)

69
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√1-cosA/2

sin(1/2 A) (Half Angle Formula)

70
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√1+cosA/2

cos(1/2 A) (Half Angle Formula)

71
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1-cosA/sinA, sinA/1+cosA

tan(1/2 A) (Half Angle Formula)