Derivatives and Rate of Change

Welcome to the "Derivatives and Rate of Change" category on Questions LLC! Whether you're a beginner or an expert in calculus, this category is dedicated to exploring the fascinating world of derivatives and rate of change. Here, you'll find a variety of questions ranging from basic concepts to more complex applications of these mathematical principles. Dive in and enhance your understanding of how derivatives help us analyze the behavior of functions and uncover insights into the rate at which quantities change. So, whether you're looking for clarification, practice problems, or simply a deeper understanding, this category has got you covered. Get ready to embark on an exciting journey of exploring derivatives and rate of change!

Questions (7)

let f(x)=square root x. if the rate of change of at x=c is twice its rate of change at x=1, then c=?what???? i don't get get it.
1. 5 answers
2. asked by david
3. 15,871 views
Given the numerical values shown for the function f(x), find approximate values for the derivative of f(x) at each of the
1. 5 answers
2. asked by Celine
3. 3,097 views
Suppose f"(x)=6x-2A. If f'(1)=5, find f'(x). I got f'(x)=3x^2-2x+4 B. Fine the average rate of change of f on [-1,4]. C. Fine
1. 3 answers
2. asked by Anonymous
3. 927 views
A = 1/2 ab SinèHow is dA/dt related to da/dt, db/dt and dè/dt dA/dt= 1/2 b SinTheta da/dt + 1/2 a SinTheta db/dt + 1/2 ab
1. 1 answer
2. asked by Jen
3. 524 views
The revenue obtained from the sale of q units of a product is given by :R= 30q-(0.3q^2) A) How fast does R change with respect
1. 4 answers
2. asked by Josie
3. 1,111 views
A manufacturer can produce digital recorders at a cost of 60 dollars each. It is estimated that if the recorders are sold for P
1. 1 answer
2. asked by Carly
3. 948 views
I need help determining the intervals of increase, decrease and the intervals of upward and downward concavity given f prime.f'(
1. 1 answer
2. asked by Sam
3. 437 views