Answered: find the rate of change dy/dx where…

Math

Calculus

find the rate of change dy/dx where x=x0 y=x(1-x); x0= -1

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

See similar textbooks

Related questions

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. (4x +…

Q: Suppose that a company can produce 12000 units when the number of hours of skilled labor y and…

Q: Determine the first derivative of the ff. function dz y = e? sin x + In x (arcsin z) with dx 4

A: Determine the first derivative of the function y=ez sin x + ln x (arcsin z) With…

Q: Find the derivative of the function. Y=3xe-3x-ex^4 dy/dx=

A: given:

Q: Find dy/dx by implicit differentiation. xy + 5x + 2x2 = 3

Q: Estimate the instantaneous rate of change of y(x) 4 at the %3D x+ 1 point x = - 2

Q: Find dy/dx by implicit differentiation. x3 + y3 =1

A: The equation: x3+y3=1

Q: What is the instantaneous rate of change of the graph of y = = cos x when x= 2n?

Q: If the instantaneous rate of change of ƒ(x) with respect to x is positive when x = 1, is ƒ…

Q: Let y=sqrt(2x). Find the rate of change of y with respect to x at x=4.

A: Answer is 1/(2√2).

Q: Find the average rate of change of f(x)=x² – 5x from: x, =-1 to x, = 3

A: We will find the average rate of change of the function. We know, the average rate of change =…

Q: Find the instantaneous rate of change of y with respect to x at x=2 of the function y = 2x³ + 4 %3D

A: To Find: The instantaneous rate of change of the function y=2x3+4 at x=4. Given: The function is…

Q: Find the indicated derivative. for y = dx 1 - 2x2 x* - 2x2 + 3 dy dx II

A: on doing differentiation we get

Q: find derivative d/dx ln(3x/(2x+7)^1/2)

Q: 2. Estimate the instantaneous rate of change of y = at x = 1. Show your work. 2x-3x+1

Q: Find the rate of change of the distance between the origin and a moving point on the graph of the…

Q: For y=ln2x, determine the equation of a tangent line parallel to 2x-3y+1=0

A: here we find the equation of a tangent which is parallel to 2x-3y+1=0. y=mx+c slope = m.

Q: find dy / dx by implicit differentiation.

Q: Find the derivative a) y = x sinh-(x) – Vx² + 1 b) y = cosh-(2Vx +1)

A: The derivative is calculated as:

Q: find dy / dx by implicit differentiation.

A: We have to find dydx by implicit differentiation: x5+y5=16 We know the formula of differentiation,…

Q: Find the derivative of the function y = 4x + In(x + 4). dy dx

Q: Find dy/dx by implicit differentiation. x3 − 3x2y + 2xy2 = 12

A: Given: x3-3x2y+2xy2=12 for finding dydx we differentiate given expression

Q: Integrate sec√x dx ÷ √x

A: We have to Integrate : ∫secxxdx Let x=t⇒12xdx=dt⇒dx=2xdt=2t dt Now, ∫secxxdx=∫sec tt(2t dt)=∫2 sec t…

Q: - [5√3x d dx

Q: Find the instantaneous rate of change of g(x) = In(x + 3) at x =

Q: Find dy/dx by implicit differentiation. x5 + y5 = 16

A: To Determine: Find dy/dx by implicit differentiation. x5 + y5 = 16 Given: we have x5+y5=16…

Q: Find the derivative of the function. Vs - 1 f(s) = Vs +5 l'(s)=]

A: Given query is to find the derivative of the function.

Q: Find dy/dx by implicit differentiation. x3 + 7x + 3xy - y5 = 25

Q: If f(x) = cos(2x), which of the equations below describes the average rate of change of f(x) over…

Q: The average rate of change of the function y = sinx over the interval [0, ]is 4

Q: Find the instantaneous rate of change of y =- at x = a

Q: Determine the instantaneous rate of change of the function πt³ √x sin (TE³ 2 f(x) = x3 1 + √t at…

Q: Find dy/dx by implicit differentiation. 2Vx + vỹ = 5

Q: Find the derivative dy/dx by implicit differenciation. x2 + y2 = 100

A: Differentiate both side with respect to x and use the formula for differentiation formula for x^2…

Q: Find the derivative of the function. y = 5 e - 5x+1 dy dx

A: Note:- Answer is given in the picture

Q: . Use a similar procedure to estimate the instantaneous rate of change of y = 3" at r = 0. Show your…

Q: Find the derivative. 4 dx dx

A: Explanation: Given that, ddxx6-4x

Q: dy Find dx if y = V5- x2 , by using definition .)باستخدام صيغة تعريف المشتقة( formula of derivative

Q: Let m(x) be the slope of the tangent line to the curve y = 2x° – 6x² + 3x at the point (x, y). Find…

A: We have to find instantaneous rate of change of m(x) at point (2,-2)

Q: Find the derivative of the function. y = log |5- 2x dy dx

Q: Find the derivative of the function y, below. y = 2x(ln x + In 7) – 2x + V2 dy da

Q: (2x + 1) 2 dy dx |- 2x

Q: Let m(x) be the slope of the tangent line to the curve y = 2x³-6x² + 3x at the point (x, y). Find…

A: Given: y=2x3-6x2+3x

Q: Find the Indicated Derivative dy - 3x* + 2x³ – x + T1, 1. y= 4x5 dx

A: 1. derivate with respect to x

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. F(x,…

A: SOLUTION-

Q: Find dy/dx using logarithmic differentiation. y = xx − 8, x > 0

Q: Find dy/dx by implicit differentiation. 2vx + vy = 5

Q: Find the indicated derivative. 1- 2x2 x4 - 2x2 + 3 dy -for y = dx dy dx

A: Recall: uv'=vu'-uv'v2

Concept explainers

Exponential Growth Model

The relation that represents an exponential function is:

Question

find the rate of change dy/dx where x=x0

y=x(1-x); x0= -1

Expert Solution

Step 1

We have to find rate of change of

$y = x (1 - x) a t x = x_{0} w h e r e, x_{0} = - 1$

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Rate of Change$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.