This post is about derivatives of Polar Equations. Because of polar equation, Polar equation like parametric equations of the curve where the angle θ is parameter. As well as equations have parameter (r,θ). For this polar equation, the parametric equations are x ( θ) = cos θ and y ( θ) = sin θ. Therefore, the derivative is which […]
Parametric and Polar Equation
Parametric and Polar Equations , a function with two variables, x and y. In some cases, though it is useful to introduce a third variable, called a parameter, and express x and y in terms of the parameter. Polar equations ,work. Coordinates in polar equations are of the form (r,θ), where r represents radius and θ represents angle. Hence both are same type […]
Equation of line
Equation of line
Slope from line
This post about slope of equation of lines . Eq. of line is part of coordinate geometry. coordinate geometry
Slope
Integration by substitution
This post is about worksheet of Integration by substitutions. It also one of most important concept of integral calculus . The function ƒ(φ(t))φ′(t) is also integrable on [a,b] Integration by substitution
Definite integration
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
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
