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Math derivative formulas

AB
sin(x)cos(x)
cos(x)-sin(x)
tan(x)sec^2(x)
cot(x)-csc^2(x)
csc(x)(-csc(x))*(cot(x))
sec(x)(sec(x))*(tan(x))
Constant Rule:Derivative of a Constant is 0, 1. Constant Rule: If y = k, then y' = 0
Power RuleIf y = x", then y' = nx^n-1
Exponential Rule:If y = e^x, then y' = e^x
Logarithm Rule:If y = 1n|x|, then y' = 1/x
Constant Times a Function Rule:If y = kƒ, then y' = kf '
Sum RuleIf y = ƒ g, then y' = ƒ' g'
Product RuleIf y = ƒg, then y' = ƒg' ƒ' g
Difference RuleIf y = ƒ - g, then y' = ƒ' - g'
Quotient Ruleif y = f/g, the y' =gf^1 -fg^1/ g^2
Chain Rule:dy/dx = dy/du (du/dx)


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21st Century Cyber Charter School
West Chester, PA

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