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Derivatives Flash Cards
Quotient Rule: F(x)=F(x)/G(x) F’(x)=?
Quotient Rule: F’(x)=F’(x)G(x)-F(x)G’(x)            (G(x))^2
Chain Rule: F(x)=F(G(x)) F’(x)=?
Chain Rule: F’(x)=F’(G(x))*G’(x)
Power Rule: F(x)=n^X F’(x)=? Where N is a constant
Power Rule: F’(x)=Xn^X-1
Implicit Differentiation: F(x)=x^2+y^2=25 F’(x)=? At the point (3,-4)
Implicit Differentiation: F(x)=-√25-x^2)  F’(x)=        X                    √25-x^2)
Linear Approximation: What is the Linear Approximation of F(x) at (a,F(a))?
Linear Approximation: L(x)=F’(a)(x-a)+F(a)

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