Tangents and normals

Cheque Book Request Letter

A book containing several checks that are used for payments or purchases is known as a cheque book. A beneficiary receives a check rather than cash so that they can pick up the funds from the nearby bank in cash. When paying with a check, the transaction is recorded in the bank’s books. Making significant […]

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Applications of Derivatives, Class 12, IIT JEE, Maths, Tangents and normals

Common Tangents to Two Circles

A circle’s tangent is a line that touches it at a point. The radius is always perpendicular to the tangent of a circle at the tangency point. Tangents have the following qualities. A tangent never crosses the circle, although it does touch it. The chord and tangent form an angle, which is the same as

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Applications of Derivatives, Class 12, IIT JEE, Maths, Tangents and normals

Derivative formula and the rules

Derivatives are used in mathematics to solve various problems related to the graph. In a graph, with the function given, it is useful to measure the slope at some particular point. Thus, we can define derivatives as the ratio of the change in the value of the given function to the change in the value

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Applications of Derivatives, Class 12, IIT JEE, Maths, Tangents and normals

Derivative of a Function

Introduction Derivative of a function is an essential process in Calculus. Calculus exists to help us solve large and seemingly impossible mathematical problems and calculations. In calculus, we will see that the derivative of a function, with its counterpart, Integrals holds an essential place. A derivative is practically used to measure the steepness of a

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Applications of Derivatives, Class 12, IIT JEE, Maths, Tangents and normals

Differentiation of Implicit Function

A function developed for differentiation of functions comprising variables but not easily written in y = f(x)  is called an implicit function (x). If x2 + y2 + 4xy + 25 = 0, then the dependent and independent variables “y” cannot be easily separated to describe it as a function of “y = f(x),” then

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Applications of Derivatives, Class 12, IIT JEE, Maths, Tangents and normals

Differentiation of the difference

Differentiation The algebraic process of calculating derivatives is known as differentiation. The slope or gradient of a particular graph at any given position is the derivative of a function. The tangent’s value drawn to that curve at any given location is the gradient of that curve. The curve’s gradient varies at different positions along the

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Applications of Derivatives, Class 12, IIT JEE, Maths, Tangents and normals

Differentiation of the Product

Differentiation of the Products Introduction Differentiation is the process of finding the rate of change of a value, also known as the derivative. It is a subfield of calculus extensively used in physics to work out formulas and the rate of change of a specific parameter, such as speed. If you did not know, speed

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Applications of Derivatives, Class 12, IIT JEE, Maths, Tangents and normals

Differentiation of the sum

Introduction Differentiation is the process of finding out the rate of change of a parameter. The rate of change of a parameter is known as its derivative. There are different differentiation rules set to find the differentiation of sum and product or functions. Differentiation rules are nothing but a set of formulae that make the

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Applications of Derivatives, Class 12, IIT JEE, Maths, Tangents and normals

Differentiation of Trigonometric Functions

Introduction Differentiation The algebraic process for calculating derivatives is known as differentiation. The slope or gradient of a particular graph at any given position is the derivative of a function. The tangent’s value drawn to that curve at any given location is the gradient of that curve. The curve’s gradient varies at different positions along

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Applications of Derivatives, Class 12, IIT JEE, Maths, Tangents and normals

Differentiation Rules and their Significance

Differentiation is a mathematical technique for determining the derivative of a function involving two independent variables. This procedure is designed to determine the instantaneous changes that occur in one of the variables as a result of the changes that occur in the other variable. For example, the instantaneous change in the rate of displacement when

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Applications of Derivatives, Class 12, IIT JEE, Maths, Tangents and normals