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Maxima and minima

A high point of curve  is called a maxima. A low point is called a minima.  In the Curve only one global maxima or  minima exists , while more than one  local maximum or minimum. Due to curve turn on these point are called local. Hence these point also called stationary points. Maxima and minima

Equation of curve

Equations of curve evaluate by doing integration of derivative curve. The gradient and a point the curve passes through are given as.. Gradient: dy/dx = 6sqrt(x) Point the curve passes through: (4,1) I need to find the equation of the curve. Therefore integration is process of finding equation of the curve. Equation of curve

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. […]

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  

 
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