A Definite Integral has start and end values. In other words there is an interval [a, b]. Hence , definite integral gives particular solution. Definite Integration
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Category: Pure Maths
Maxima and minima
Maximum and Minima of Points of Inflection. The value f ‘(x) is the gradient at any point but often we want to find the Turning or Stationary Point (Maximum and Minimum points) or Point of Inflection These happen where the gradient is zero, f ‘(x) = 0. Critical Points include Turning points and Points where f ‘ (x) does not exist. […]
Equation of Tangent and Normal
A tangent to a curves are a line that touches the curve at one point and has the same slope as the curve at that point. A normal to a curve is a line perpendicular to a tangent to the curve. Tangent and normal
Rules of derivative
Rules for derivatives. Rules for derivatives. Sum rule: The derivative of the sum or difference of two functions is the sum or difference of their derivatives. (u + v)’ = u’ + v’ Constant multiple: The derivative of a constant times a function is the constant times the derivative of the function. (ku)’ = ku’ Rules for derivative
Rules of derivative
Rule for derivatives. Rules for derivatives. Sum rule: The derivative of the sum or difference of two functions is the sum or difference of their derivatives. (u + v)’ = u’ + v’ Constant multiple: The derivative of a constant times a function is the constant times the derivative of the function. (ku)’ = ku’ Rules of derivative
Volume of revolution of solid
Volume of revolution. To get a solid of revolution we start out with a function, y=f (x), on an interval [a,b]. We then rotate this curve about a given axis to get the surface of the solid of revolution. For purposes of this discussion let’s rotate the curve about the x -axis, although it could be any vertical […]
Volume of revolution
To get a solid of revolution we start out with a function, y=f (x), on an interval [a,b]. We then rotate this curve about a given axis to get the surface of the solid of revolution Volume of Revolution
Double angle trigonometric equation
Double angle equations are allowing the expression of trigonometric functions of angles equal to 2u in terms of u. The double angle formulas can simplify the functions and gives ease to perform more complex calculations. The double angle formulas are useful for finding the values of unknown trigonometric functions. Therefore in double angle equation we need to consider two rotation. […]
A Double angles identity
A Double angles identity is written2θ, for example, as sin 2θ, cos 2α, or tan 2x, where 2θ, 2α, and 2x. The angle measures and the assumption is that you mean sin(2θ), cos(2α), or tan(2x). Because tangent is equal to the ratio of sine and cosine . Therefor its identity comes from their double-angle identities. double angle identity
Double Angle trigonometric Identity
A Double angles identity is written2θ, for example, as sin 2θ, cos 2α, or tan 2x, where 2θ, 2α, and 2x. The angle measures and the assumption is that you mean sin(2θ), cos(2α), or tan(2x). Because tangent is equal to the ratio of sine and cosine . Therefor its identity comes from their double-angle identities. Double angle
