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Calculus 2nd Hour

Calculus Assignments

April 6th – 9th 

Differentiation: definition and basic derivative rules: Unit

April 6th – Defining average and instantaneous rates of change at a point Lesson

April 7th – Defining average and instantaneous rates of change at a point Lesson Continued

April 8th –  Defining average and instantaneous rates of change at a point Lesson Continued

April 9th –  Adding and subtracting polynomials: two variables Lesson

April 13th – April 16th 

April 13th – Estimating derivatives of a function at a point Lesson

April 14th – Connecting differentiability and continuity: determining when derivatives do and do not exist Lesson

April 15th – Differentiability at a point: algebraic (function is differentiable) Video · 5 minutes

April 16th – Proof: Differentiability implies continuity: Read Article

​April 20th – April 23rd  Applying the power rule Lesson

April 20th – Power rule Video · 3 minutes

​April 21st – Power rule (negative & fractional powers) Exercise · 4 questions

April 22nd – Power rule (with rewriting the expression) Video · 4 minutes

April 23rd – Justifying the power rule: Read Article

April 27th – May 1st 

April 27th – Derivative rules: constant, sum, difference, and constant multiple: introduction: New Lesson

April 28th – Basic derivative rules: table: Video · 9 minutes

April 29th – Derivative rules: constant, sum, difference, and constant multiple: w/ the power rule: New Lesson

April 30th – Differentiating integer powers (mixed positive and negative): Video · 4 minutes

May 1st – Tangents of polynomials: Video · 4 minutes

​May 4th – May 8th 

May 4th – Differentiation: definition and basic derivative rules: Quiz 2 · 8 questions from:

May 5th – Derivatives of cos(x), sin(x), 𝑒ˣ, and ln(x): New Lesson

May 6th – Proving the derivatives of sin(x) and cos(x): Article

May 7th – Proof: The derivative of 𝑒ˣ is 𝑒ˣ: Read Article

May 8th – The product rule: New Lesson