if f(x) = x² → g(x) = ⅟₇ x² = x² / 7
if f(x) = x² and g(x) = 4 - x, then: fg(x) = (4 - x)² = 16 - 8x + x2 gf(x) = 4 - x² (f+g)(x) = x² + 4 - x (f - g)(x) = x² - 4 + x (fg)(x) = 4x² - x³ (f/g)(x) = x²/4 - x (iff x ≠ 4)
Assume f=f(x), g=g(x)and (f^-1)(x) is the functional inverse of f(x). (f+g)'=f'+g' (f*g)'=f'*g+f*g' product rule (f(g))'=g'*f'(g) compositional rule (f/g)'=(f'*g-f*g')/(g^2) quotient rule (d/dx)(x^r)=r*x^(r-1) power rule and applies for ALL r. where g^2 is g*g not g(g)
The set notation for G would be written as G = {...}, where the ellipsis (...) represents the elements of the set G.
Let f(x)=x2 Let g(x)=sin(x) f(g(x))=(sin(x))2 Which is usually written sin2 (x) g(f(x))=sin(x2 )
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern -X---G--G. That is, nine letter words with 2nd letter X and 6th letter G and 9th letter G. In alphabetical order, they are: expunging expurging
Oxidizing
The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us differentiate *composite functions*. For example, sin(x²) is a composite function because it can be constructed as f(g(x)) for f(x)=sin(x) and g(x)=x².
Galaxy. "Galaxy" is spelled g-a-l-a-x-y.
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern --G-X---. That is, eight letter words with 3rd letter G and 5th letter X. In alphabetical order, they are: digoxins
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern -X--G--. That is, seven letter words with 2nd letter X and 5th letter G. In alphabetical order, they are: exergue expugns
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 4 words with the pattern -X----G. That is, seven letter words with 2nd letter X and 7th letter G. In alphabetical order, they are: exeming exiling exiting exuding
0
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern G-X-S. That is, five letter words with 1st letter G and 3rd letter X and 5th letter S. In alphabetical order, they are: goxes
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern F-X--G-. That is, seven letter words with 1st letter F and 3rd letter X and 6th letter G. In alphabetical order, they are: fixings foxings
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 1 words with the pattern C--X--G--. That is, nine letter words with 1st letter C and 4th letter X and 7th letter G. In alphabetical order, they are: coaxingly
According to SOWPODS (the combination of Scrabble dictionaries used around the world) there are 2 words with the pattern G--T-X--. That is, eight letter words with 1st letter G and 4th letter T and 6th letter X. In alphabetical order, they are: geotaxes geotaxis