(a) Let n be an integer. Consider the function xsin, x0, f(x)= { 0, x=0 Find the suitable condition on n such that f(x) is continuous at the point x = 0; f(x) is differentiable at the point x = 0; and f'(x) is continuous at the point x = 0. (b) Find the slope of the tangent to the curve sin(xy) = = x

(a) Let n be an integer. Consider the function xsin, x0, f(x)= { 0, x=0 Find the suitable condition on n such that f(x) is continuous at the point x = 0; f(x) is differentiable at the point x = 0; and f'(x) is continuous at the point x = 0. (b) Find the slope of the tangent to the curve sin(xy) = = x

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

please write neatly and don't type. It's hard to understand typing.Thank you!
How to do this question without using Differentiation? thanks
Help me find the derivative of this
2. Consider the function y(x) = 5x over the interval [0, 10]. (a) If the points A(0, y(0)), B(5, y(5)), and C(10, y(10)) are on the curve represented by the above function, find the slope of the lines (secants) AB, and AC, respectively. (b) If x represents time and y represents the displacement of a particle moving along a line, what is the physical meaning of your results to part (a)? (c) Now consider a point D(10 – h, y(10 – h)) on the curve represented by the given function, find the slope of the line DC. (d) As h → 0, what is the limiting value of your result to part (c)? (e) What is its physical meaning of your result to part (d) if again x represents time and y represents the displacement?
state the definition of the derivative for 8-7t please help! I need first part
Find the first derivative, show all of your work and formula used, be clear in writting please