Is there a value of b that will make g ( x ) = { x + b , x < 0 cos x , x ≥ 0 continuous at x = 0 ? Differentiable at x = 0 ? Give reasons for your answer.
Is there a value of b that will make g ( x ) = { x + b , x < 0 cos x , x ≥ 0 continuous at x = 0 ? Differentiable at x = 0 ? Give reasons for your answer.
Solution Summary: The author explains that the function f(x) is continuous at 1 and differentiable at no value of b.
continuous at
x
=
0
? Differentiable at
x
=
0
? Give reasons for your answer.
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY