Day One:
Course Note: Basic Derivative Rules
Khan Academy Lessons:
Homework: Edwards p. 114 #11-17 (odd), 44-50 (even), p. 125 #1, 3, 9, 25, 27, 29, Chain Rule & Combinations Homework #5odd, 6, #3 even, 4b, 5, 6
Videos: The Power Rule, The Constant Multiplier Rule, The Sum & Difference Rules, The Product Rule, Differentiating Polynomials, Differentiating Integer Powers, Basic Derivative Rules, The Product Rule, The Quotient Rule, Quotient Rule Example
Khan Academy Practice: Differentiating Polynomials, Differentiating Integer Powers, Basic Derivative Rules, Product Rule, Quotient Rule
Course Note: Derivatives of Transcendental Functions
Khan Academy Lessons: Differentiating Exponential Functions, Differentiating Logarithmic Functions
Homework: Larson p. 325 #41-63 (odd), p. 352 #33-51 (odd), p. 362 #37-58
Videos: Derivatives of Sine and Cosine, Derivative of e^x, Derivative of lnx, Derivatives of Tangent and Cotangent, Derivatives of Secant and Cosecant, Secant with Chain, Derivative of a^x, Derivative of a^f(x) using Chain, Derivative of logx, Derivative of log(f(x)) using Chain, Logarithmic Functions using Log Properties, Derivative of sin(ln(x^2))
Khan Academy Practice: Derivatives of Sine and Cosine, Derivatives of e^x and lnx, Derivatives of Tangent, Cotangent, Secant, and Cosecant, Differentiating Trigonometric Functions, Derivatives of Trig Functions, Derivatives of a^x and logx, Differentiate Exponential Functions, Differentiating Logarithmic Functions,
Course Note: Investigating Slope Graphs
Khan Academy Lessons:
Homework: Investigating Slope Graphs
Videos: Derivative as Slope of a Curve
Course Note: Differentiability and Continuity
Khan Academy Lessons:
Homework: Differentiability and Continuity #15 on
Videos: Differentiability and continuity, Differentiability at a Point (Graphical), Differentiability at a Point where Differentiable (Algebraic), Differentiability at a Point where Non-Differentiable (Algebraic),
Khan Academy Practice: Differentiability at a Point (Graphical), Differentiability at a Point (Algebraic)
Course Note: Differentiating from Tables, Graphs, and Symbolically
Homework: Derivatives from Tables and Graphs
Videos:
Course Note: Implicit Differentiation
Homework: Implicit Differentiation
Videos:
Course Note: Derivatives of Inverse Functions
Homework: Derivatives of Inverse Functions
Videos:
Day One: Tangent Lines & Linear Approximation
Course Note: Equations of Tangent Lines & Linear Approximation
Homework: Tangent Lines
Videos:
Day Two: Normal Lines
Homework: Complete the problems about normal lines from Tuesday's homework