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
You are browsing archives for
Category: mc_c_d
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
Gradient of tangent
At a given point on a curve, the gradient of the curve is equal to the gradient of the tangent to the curve. The derivative (or gradient function) describes the gradient of a curve at any point on the curve. Similarly, it also describes the gradient of a tangent to a curve at any point […]
Average and Instantaneous rate of change
Average rate of change of a function f(x) on an interval [a,b] is the slope of the secant line . The instantaneous rate of change of f(x) at x=a is the slope of the tangent line. Therefore the slope of the line measures the average rate of change of the function and can be found from any two points on […]
Limit
If x is approaching one of the transition points of the function, then you have to check both limit. Limit for Piecewise function
Limit
Limits of algebraic function when variable tends to finite value. In essence, we shall be using following three techniques. Algebraic limit
Limits
limit is the value that a function (or sequence) “approaches” as the input (or index) “approaches” some value. Limits describe how a function behaves near a point, instead of at that point. Limit
Product Rule
Applications of derivatives
In this post, First of all about derivatives and the various applications of derivatives. Derivative can be described as the slope at a point on a line around the curve and it is the most basic tool of calculus. It is also the rate of change at which one quantity changes with respect to another. How to find extrema using […]
Derivative curve sketching
This post about tips to sketch derivative curve from curve . Therefore, we have to analyse curve like their intercepts , stationary point slope . derivative curve
