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 […]
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Category: Derivatives
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
Conversion of equation polar to rectangu...
This rectangular to polar form conversion converts a number in rectangular form to its equivalent value in polar form. Rectangular forms of numbers take on the format, rectangular number= x + jy, where x and y are numbers. The x is the real number of the expression and the y represents. To Convert from Cartesian to Polar. When we know a point in Cartesian Coordinates (x,y) and we want it in Polar Coordinates […]
Kinematics
Kinematic is the branch of classical mechanics. describes the motion of points, objects and systems of groups of objects, without reference to the causes of motion. The symbol a stands for the acceleration of the object. And the symbol v stands for the instantaneous velocity of the object. The derivative of displacement with time is velocity […]
Equation of Tangent and Normal
Tangents to a curve 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
Product to Sum
Product‐Sum and Sum‐Product Identities. The process of converting products into sums can make a difference . Integrate \( \int \! \sin 3x \cos 4x \, \mathrm{d}x.\) This problem may seem tough at first, but after using the product-to-sum trigonometric formula, this integral very quickly changes into a standard form . Converting a sum of trig functions into a product. Write as and then […]
Differentiation and Integration
First of all differentiation and Integration are process of calculus. Due to differentiation we get derivative, while integration of derivative we get function back. Integration also called derivative. Differentiation and Integration
