Recent questions in Rate of Change

Rate of Change
Answered

Cheyanne Jefferson
2022-08-06

Is there any way to find where the rate of change of function is maximum/highest?

Suppose we have a sine wave and i want to know where the rate of change of the function is maximum highest?

How can i find that?

Rate of Change
Answered

Dawson Downs
2022-07-20

the function $f(x)=0.9x$

So, the rate of change of y with respect to x is 0.9.

My question is, what is the unit of this Rate of Change?

0.9 per x?

Rate of Change
Answered

Kenya Leonard
2022-07-16

What is the difference between the both? I am trying to find a separate definitions for both in a textbook, but it only defines average rate of change.

I know that average rate of change is:

$\frac{change\phantom{\rule{1em}{0ex}}in\phantom{\rule{1em}{0ex}}y}{change\phantom{\rule{1em}{0ex}}in\phantom{\rule{1em}{0ex}}x}$

But what is just rate of change then?

Rate of Change
Answered

Kade Reese
2022-07-14

I got this task on my calculus class and I got stuck at process of figuring it out

A clay cylinder is being compressed so that its height is changing at the rate of 4 millimeters per second, and its diameter is increasing at the rate of 2 millimeters per second. Find the rate of change of the area of the horizontal cross-section of the cylinder when its height is 1 centimeter.

What I know:

Volume is unknown and constant

Rate of change of diameter is

$\frac{dD}{dt}}=0,2\text{cm}/\text{sec$

Rate of change of height is

$\frac{dh}{dt}}=-0,4\text{cm}/\text{sec$

Trying to find $\frac{dD}{dt}$ by using formula

$V=\pi {r}^{2}h$