In this article, we shall study the concept of maximum and minimum values of a function using the concept of differentiation. Example – 01: Find the maximum and minimum values of x3 – 12x – 5 Solution: Let ƒ(x) = x3 – 12x – 5 ………….. (1) Differentiating equation (1) w.r.t. x ƒ’(x) = 3×2 […]
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Equations of tangents and Normals – 02
In this article, we shall study more examples to find the equation of normal and tangent to a curve at a given point. Example – 12: Find the equation of the tangent and normal to the curve x = sin θ and y = cos 2θ at θ = π/6 Solution: The equation of the […]
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Equations of Tangents and Normals
In this article, we shall study the use of the concept of differentiation to find slope, equation of tangent, and normal. Example – 01: Find the equation of the tangent and normal to the curve y = 3×2 – x + 1 at point P(1, 3) Solution: Equation of curve is y = 3×2 – […]
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Types of Functions
In the last article, we have studied the concept of the function and the terminology associated with it. In this article, we shall study different types of functions. Real Function: A function whose domain and co-domain are the set or subset of real numbers R, then the function is called a real function.Thus if ƒ: […]
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Concept of a Function
Function or Mapping: Let A and B two non-empty set and If each and every element x of set A is related by the relation ‘ƒ’ to one and only one element y of the set B such that y = ƒ(x) then such a relation ƒ from set A to set B is called […]
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Mesne Profits
Indian Legal System > Civil Laws > The Code of Civil Procedure > Mesne Profits The right to possession is a sacred right guaranteed to all law-abiding citizens. If the rightful owner is deprived of his possession and at the same time he is deprived of the income he can obtain from such possession, then […]
A few elements like carbon, sulphur, gold, platinum, copper, silver, mercury and noble gases, occur in the free state while others in combined forms like oxides, sulphides, carbonates, sulphates, silicates etc. in the earth’s crust. Metallurgy is a branch of chemistry that deals with the processes that are used for the extraction of metals in […]
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Environmental Chemistry
In this article, we shall study the meaning of environmental chemistry and also about pollution and pollutants. Environment means all that environs i.e. surrounds us. Different organisms live in different types of surroundings such as air, water, and soil. Different kinds of living organisms share these surroundings with others. An environment can be defined as […]
The electrostatic force of attraction between the oppositely charged ions is called the ionic bond or electrovalent bond. This bond is formed between two atoms whose electronegativity difference is large and they can attain octets by the complete transfer of one or more electrons from one atom to another. The atom which loses electrons is […]
In a chemical reaction, one or more substances, called reactants undergo a chemical change to produce new substances called products of the reaction. Thus a chemical reaction is a process in which reactants undergo a change to produce products. Reactants: One or more substances which react and undergo chemical change are called reactants of the […]