Functions that behave differently based on the input (x) value. Piecewise Function. A function made up of 3 pieces as well as two pieces. Hence in some case piecewise function give discontinuous graph.
Piecewise
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 […]