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 the line. Also gradient
Average and Instantaneous
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
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
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 […]
