What is the Mixed Derivative Theorem for mixed second-order partial derivatives? How can it help in calculating partial derivatives of second and higher orders?
A stone dropped into a still pond sends out a circular ripples whose radius increases at a constant rate at 3ft/s . How rapidly is the area enclosed by the ripple increasing at the end of 10 s ?
a communication signal is given by the following functions
Suppose f is a diﬀerentiable function that satisﬁes
for all x. If f(4)=2, what is f′(4) ?