Calculus 🧮 – Tony’s Blog ✍️

Calculus 17: Simple Pendulum

calculus

From Ch.3-6 Ex.103 Chain-Rule, Thomas 13e pp.170

Calculus 16: More Sequence Exercises

calculus

From Ch.10-1 Ex.39-49 Sequences, Thomas 13e pp.582

Calculus 15: Convergence & Divergence

calculus

From Ch.10-1 Ex.27-37 Sequences, Thomas 13e pp.582

Calculus 14: n’th Derivative with `%` (modulo) & `sympy`

calculus

From Ch3-5 Derivatives of Trigonometric Functions, Thomas 13e pp.161

Calculus 13: Limit of Cosine

calculus

From Ch2-4 One-Sided Limits, Thomas 13e pp.91

Calculus 12: Derivatives Of Trigonometric Functions

calculus

Using Python’s sympy library to find numeric & exact solutions

Calculus 11: More Sequences

calculus

From Ch10-1 Sequences, Thomas 13e pp.581

Calculus 10: Generating & Coding A Sequence

calculus

From Ch10-1 Sequences, Thomas 13e pp.581

Calculus 9: Terms of Sequences - Selected Exercises

calculus

From Ch10-1 Sequences, Thomas 13e pp.581

Calculus 8: Derivative of An Exponential

calculus

From Ch3.3 Derivatives, Thomas 13e pp.140

Calculus 7: Rates of Change Applications

calculus

From Ch3.1.Ex25-31, Thomas 13e pp.126-127

Calculus 6: Find A Derivative And Tangent

calculus

From Ch3.1.Ex23, Thomas 13e pp.126

Calculus 5: Find A Derivative And Tangent

calculus

From Ch3.1.Ex17, Thomas 13e pp.126

Calculus 4: Applying Binomial Theorem

calculus

binomialtheorem

Find the derivative and plot the tangent (from Ch3.1.Ex9, Thomas 13e pp.126)

Calculus 3: Synthetic Division

calculus

Learning a factoring technique (from Ex 2.2.85, Thomas 13e pp.77)

Calculus 2: Plotting functions with limits

calculus

Ch2.2: Limit of a Function & Limit Laws (Ex2.2.11-21, Thomas 13e pp.74)

Calculus 1: Inverse Properties of \(a^x\) and \(\log_a x\)

calculus

Exploring the compositions of \(a^x\), \(\log_a x\), \(e^x\) and \(\ln x\) and deriving the Change of Base formula