Differentiation is the action of computing a derivative. The derivative of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to the change of the variable x. Differentiation
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Category: Derivatives
Differentiability
Differentiable functions of one variable is a function whose derivative exists at each point in its domain. Also function is differentiable at a point if it has a derivative there. Therefore function also continuous in given domain. Differentiable_function
Equation of tangent and normal of transc...
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 […]
Properties of curve
derivative find (in general) points of inflection on the curve. If the graph of a function were a road map, these are the points on the curve where, instantaneously. Also use to find Maxima and minima. Properties of curve
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
Derivative of Parametric and Polar Equat...
This post is about derivatives of Polar and parametric 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 of polar equation
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 […]
