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Thought-Process to Discover Knowledge

Welcome to **nub****trek**.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.continue

The differentiation or derivative calculus is explained in *astonishingly simple and clear thought process*. The differentiation is covered in the following topics.

• application scenario of differentiation

• first principles of differentiation

• graphical meaning of derivatives

• differentiability of a function

• algebra of derivatives

• standard results in derivatives *(click for the list of lessons in this topic)*

Introduction to Differential Calculus

Some quantities are related such that one is rate of change of another. Finding the rate of change of a quantity, as a function of variable, is the derivative or differentiation. In this, the following are explained in simple and clear thought-process.

• application scenario of differentiation

• first principles of differentiation

• graphical meaning of derivatives

• differentiability of a function

Algebra of Differentiation

In this page, algebra of derivatives is detailed in a *coherent and simple form* -- The following are covered.

• understanding algebra of derivatives.

• Derivatives of addition, subtraction, multiplication, and division of functions

• Derivatives of function of functions, and parametric forms of functions.

Standard Results in Derivatives

In this page, standard results in derivative, that are repeatedly used, are explained and proven. This provides a *simple and coherent* study of the standard results.

• Derivatives of Algebraic Expressions

• Derivatives of Trigonometric Functions

• Derivatives of Inverse Trigonometric Functions

• Derivatives of Logarithms and Exponents