C3 - Differentiation

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  • Created by: Jess H
  • Created on: 23-01-13 14:46
Chain Rule
y = f(x)^n dy/dx = [n x f(x)^(n-1)] x [f '(x)]
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Product Rule
y = uv dy/dx = [u x dv/dx] + [v x du/dx]
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Quotient Rule
y = u/v dy/dx = [v x du/dx] - [u x dv/dx] all divided by v^2
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dy/dx of the exponential function, y = e^f(x)
dy/dx = [f '(x) x e^f(x)]
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dy/dx of the logarithmic function, y = ln(f(x))
dy/dx = [f '(x)/f(x)]
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dy/dx of y = cos(f(x))
dy/dx = [f '(x)] x [-sin(f(x))]
6 of 8
dy/dx of y = sin(f(x))
dy/dx = [f '(x)] x [cos(f(x))]
7 of 8
dy/dx is also equal to
1 / (dx/dy)
8 of 8

Other cards in this set

Card 2

Front

Product Rule

Back

y = uv dy/dx = [u x dv/dx] + [v x du/dx]

Card 3

Front

Quotient Rule

Back

Preview of the front of card 3

Card 4

Front

dy/dx of the exponential function, y = e^f(x)

Back

Preview of the front of card 4

Card 5

Front

dy/dx of the logarithmic function, y = ln(f(x))

Back

Preview of the front of card 5
View more cards

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