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Derivative of \({e}^x\) using First Principle
Derivative of \({e}^x\) using the First Principle Let \(y\) = \({e}^x\)∴ \(y + δy\) = \({e}^{x + δx}\)∴ \(δy\) = \({e}^{x + δx}\) – \({e}^x\)or \(δy\)…
Derivative of sinθ using the First Principle
Derivative of \( sinθ \) using the First Principle Let \(y\) = \( sinθ \) ∴ \(y + δy\) = \( sin(θ + δθ) \) ∴…
Derivative of cosθ using the First Principle
Derivative of \( cosθ \) using the First Principle Let \(y\) = \( cosθ \) ∴ \(y + δy\) = \( cos(θ + δθ) \) ∴…
De Morgan's laws
De Morgan’s First Law The complement of the union of two sets is equal to the intersection of their complements i.e. (A ∪ B )’ =…
Cartesian Product of Sets
A cartesian product between two sets is defined as the set consisting of all possible ordered pairs that can be formed by taking one element from…
Tuples
In mathematics, a tuple or a sequence is a list of objects arranged in an order. Such a list may have repeated objects but the order is more important. Such…
Ordered Pairs
An ordered pair is a 2-tuple formed by taking two elements (generally numbers but can be alphabets, characters, words, or symbols). The general form of representation…
Cartesian Product
The cartesian product of two sets A and B is defined as a set formed by all the possible ordered pairs of elements from A and B, such…
Intersection operation on two sets
The intersection of two sets A & B is defined as a set that contains only those members which are common to both A and B. The intersection…
Union of two sets
The union of two sets A & B is defined as a set that contains all the member elements of A and B. the union operation…
Complement of a set
The complement of a set A (that is a subset of a universal set U) is defined as a set that contains all the member elements…
Venn Diagrams in Sets
Venn diagrams are the pictorial or graphical representation of sets and the various relationships that exist between sets. The representation consists of a rectangular box representing the…
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