The Equation of Tangents and Normals, If you differentiate the equation of a curve, you will get a formula for the gradient of the curve. Are you working to find the equation of a tangent line (or normal line) in Calculus? The derivative of a function at a point is the slope of the tangent line at this point. The normal line is defined as the line that is perpendicular to […]
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Category: Differentiation
Product Rule
Differentiation(Power Rule)
Differentiation is process of finding rates of change of one quantity compared to another. We need differentiation when the rate of change is not constant. Also it is process of finding derivative from function. As well as gradient of tangent to the curve. Differentiation (Power Rule)
Differentiation formulae
The Basic Differentiation rules. This include the constant rule, power rule. also include sum rule, difference rule , Product Rule and Quotient Rule. Consequently rule these rule applicable on two different functions. Differentiation rule
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
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
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
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 […]
Maxima and Minima
Maximum and minimum 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 […]
