If `(dy)/(dx)` changes the sign from negative to positive as x increase through C, then the function attains

Write True/False: If f'( c ) does not exist and f'(x) changes from positive to negative as x increases through c, then f(x) has a local minimum at x=c.

10C of charge start from the negative terminal of a battery, flow through the battery and then leave the positive terminal through a wire, flow through a resistor and then return to the starting point on this circuit. In this complete process, the 10C....

For a wave propagating in the positive x direction the instantaneous displacement of the particle is y=A sin ""(2pi)/T (t-x/v) . What is the significance of the negative sign ? If positive sign is used, what does it represent?

Positive and negative charges of equal magnitude lie along the symmetry axis of a cylinder. The distance from the positive charge to the left - end cap of the cylinder is the same as the distance from the negative charge to the right - end cap. What is the sign of the flux through the right - end cap of the cylinder ?

A wombat moves along an x axis. What is the sign of its acceleration if it is moving (a) in the positive direction with increasing speed. (b) in the positive direction with decreasing speed, (c) in the negative direction with increasing speed, and (d) in the negative direction with decreasing speed ?

The sign of a is positive. The sign of b is negative. If it can be determined, what is the sign of the mean of a and b?

When work (w) is done by the system, the sign of w is negative. But when it is done on the system, the sign of w is positive, give reason.

Find (dy)/(dx) of the functions given by y^x=x^y