MATH-UA 121 Lecture Notes - Lecture 2: Quotient Rule, Power Rule, Product Rule
22 Sep 2016
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If the then there is no limit. (ivt) the intermediate value theoremif is continuous on. [a, b] then achieves all values between and. Ivt: let be continuous on [a, b] then n, Sometimes you need to do piecewise (one-sided) limits. Derivatives is the derivative of f at a. Non-differentiability1) cusps, corners 2) vertical tangents: discontinuities. If f is interpreted as time, then is the instantaneous rate of change (velocity) of at time . The chain rule and have a cycle of 4. tan cover the function you want to find derivative of and cot read that line across. Continuity does not imply differentiability, but differentiability does imply continuity. Limit of slope of secant lines= slope of tangent line 2) Implicit differentiation: taking the derivative of one variable (ex. y) with respect to another variable (ex. x) like this ask yourself does one variable depend on the other variable? .
