428 Answered Questions for the topic Derivative

Derivative Calculus

05/28/22

#### Calculus question below: Rates of change

The ends of a trough, 12 ft in length, are isosceles trapezoids with height 4 ft, upper base 6 ft and lower base 4 ft. Water is pumped into the trough at the rate of 2 ft^3/min. If the height of... more
Derivative Calculus Function

05/28/22

#### A particle moves along a straight line with equation of motion s = t^2 - 2t find the velocity of the particle at t=1

A particle moves along a straight line with equation of motion s = t^2 - 2t find the velocity of the particle at t=1

05/28/22

#### Calculus: Rates of change (problem below)

The lower base of a trapezoid is 6 m. If its height is increasing at the rate of 1 m/sec while its area is increasing at the rate of 2 m^2/sec. At what rate is the upper base of the trapezoid... more

05/28/22

#### Find the first derivative of (2x + 3)^4 = 3y^4

Derivative Calculus

05/24/22

A group of people wish to charter a boat. The fee is $1000 per person for the first 100 people, but decreases by$5 (for everyone) for each person beyond 100. The charter company will have costs of... more

05/20/22

#### Find all the critical numbers of the function. Find the open interval on which the function is decreasing or increasing and locate all relative extrema.

Find all the critical numbers of the function. Find the open interval on which the function is decreasing or increasing and locate all relative extrema. f(x)=x^2(3-x) f(x)=x^4-2x^2/3x

05/20/22

#### Find the open interval on which the function f(x)=x^2/x+1 is increasing or decreasing

Find the open interval on which the function f(x)=x^2/x+1 is increasing or decreasing

05/20/22

#### Find the open interval on which the function f(x)=x^4-3x^2+5x is increasing or decreasing

Find the open interval on which the function f(x)=x^4-3x^2+5x is increasing or decreasing

05/09/22

I have created a scatter plot and the exponential function I found is y = 30e-0.004t. I need help solving the rest of the questions. A brief explanation of each part will also suffice.Codeine... more
Derivative Math Calculus Exponents

05/07/22

I have created a scatter plot and the exponential function I found is y = 30.368(0.995943)x. I need help solving the rest of the questions. A brief explanation of each part will also... more
Derivative Calculus Precalculus

04/29/22

#### Rate of Change for gas pressure

I've watched several videos and looked at similar problems and plugged in my numbers, but I still get the wrong answer. I'm not sure where I am going wrong. The gas law for an ideal gas at absolute... more

#### Find dy/dx when;

Find dy/dx when;a) y=45-7x-3-18xz-12z1/4+15x1/5b) 𝑦 = −8x2z-5
Derivative Math Calculus Maths

04/21/22

#### Find all partial derivatives of w = xsin(yz) - zln(xy)

w = xsin(yz) - zln(xy)

04/19/22

#### Find an expression, in terms of r and T, for the rate of change of the volume (V cm^3) of a glass sphere.

In the production process of a glass sphere, hot glass is blown such that the radius, r cm, increases over time (t seconds) in direct proportion to the temperature (T °C) of the glass.Find an... more

04/14/22

#### antiderivative question

find ∫ (3^x - 5)(4^x + 7) dx
Derivative Calculus

04/01/22

#### Determine the page dimensions that will result in the maximum printed area on the page.

A Publiser decided that the pages of a book should have a 1-in. margin at the top and the bottom, and a (1/2) -in. margin on each side of the page. He further stipulated that each page of the book... more

03/24/22

#### Calculus Particle Motion Question hw

given that a particle moves according to the function: s(t)=t(t-6)^2 , find (s is in meters, t is in seconds):﻿a. the velocity at all timesb. the velocity at t=2c. when the particle is at rest?... more

03/23/22

#### Derivaties question. Can someone walk me through this question? I need help

The curve with the equation y^2=(x^3) + 3x^2 is called the Tshirnhausen cubic. Find the equation of the tangent to this curve at a point (1,-2).From what I know already I believe I'm supposed to... more
Derivative Math Calculus Slope

03/22/22

#### Mean Value Theorem and Average Slope help?

Let 𝑓(𝑥)=2𝑥2+5𝑥−81) Find the average slope of the function 𝑓 on the interval [−1,1]2) Verify the Mean Value Theorem by finding a number 𝑐 in (−1,1) such that 𝑓′(𝑐)=𝑚I got 3 for the average slope is... more
Derivative Calculus

03/12/22

#### Draw corresponding secant and tangent lines on the graph of a function

Sketch the graph of a function f(x) that satisfies the following criteria. (You do not need to define the functionalgebraically.) Defined and continuous on the interval [-10, 10] The rate of change... more
Derivative Math Calculus

03/10/22

#### Determine dx/dy of function with function inside of it

Let y = √(x + f(x2 − 1)) Determine dy/dx when x=3, given that f(8) = 0 and f '(8) = 3.
Derivative Math Calculus

03/10/22

#### Determine the values of a, b and c so that the graph of f(x) = ax 2 + bx + c has x-intercepts at (0,0) and (8,0) and has a tangent with a slope of 16 where x = 2.

Derivative Calculus Economics

03/09/22

#### Finding Marginal Revenue, Marginal Cost, and Marginal Profit with Cost Function.

A gizmo is sold for \$28 per item. Suppose that the number of items produced is equal to the number of items sold and that the cost (in dollars) of producing 𝑥 gizmos is given by the following... more

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