This document provides summaries of formulas for finding derivatives using the quotient rule, chain rule, power rule, implicit differentiation, and the formula for the linear approximation of a function. Specifically, it defines the quotient rule, chain rule, and power rule formulas for taking derivatives and shows how to use implicit differentiation to find derivatives. It also presents the formula for determining the linear approximation of a function based on its value and derivative at a given point.

1. Derivatives Flash Cards

2. Quotient Rule: F(x)=F(x)/G(x) F’(x)=?

3. Quotient Rule: F’(x)=F’(x)G(x)-F(x)G’(x) (G(x))^2

4. Chain Rule: F(x)=F(G(x)) F’(x)=?

5. Chain Rule: F’(x)=F’(G(x))*G’(x)

6. Power Rule: F(x)=n^X F’(x)=? Where N is a constant

7. Power Rule: F’(x)=Xn^X-1

8. Implicit Differentiation: F(x)=x^2+y^2=25 F’(x)=? At the point (3,-4)

9. Implicit Differentiation: F(x)=-√25-x^2) F’(x)= X √25-x^2)

10. Linear Approximation: What is the Linear Approximation of F(x) at (a,F(a))?

11. Linear Approximation: L(x)=F’(a)(x-a)+F(a)