432 Answered Questions for the topic Derivative

Derivative Calculus

04/07/19

An ager place contains B(t) = 600(4-e^-t). What happens to the population B(t) after a “long” time?

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Derivative Calculus

04/07/19

A ager plate contains B(t) = 600(4-e^-t) bacteria t hours after the start of the experiment. Show that the population is always increasing. (Show B’(t) >0 for all t > 0)
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Derivative Calculus

04/06/19

Consider the function f (x) = 3-4x^2 on the interval [−6,7] . Find the average or mean slope of the function on this interval, i.e. f(7)−f(−6)/7−(−6)
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Derivative Precalculus

04/03/19

Assume that x=x(t) and y=y(t)
Let x^2 + y^2 = 16, and suppose that dy/dt = 3 when x = 1.3 and y > 0Then dx/dt =
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04/02/19

indicated rate x^2 + 3xy + y^2 =11 dx/dt = 2, when x=1 y=2
Indicated Rate and Motion, Derivative Topics
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Derivative Calculus

03/25/19

The line y= 3x +4 is a tangent to the curve y=ax3+bx2 +2x+7 at the point (1,7) (ANSWER 1a. and 1b.)
1) The line y= 3x + 4 is a tangent to the curve y=ax3+bx2 +2x+7 at the point (1,7) 1a.) Determine the values of a and b 1b. ) The tangent to the curve is parallel to y= 3x +4 at one additional... more
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Derivative Calculus

03/23/19

Derivative function

The number of people with a certain disease in NJ is described/modeled by the function P(t)=t^2+3t+10, where t measures the years since 2010.P(t) is called the prevalence of the disease at time t.... more
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Derivative Calculus

03/21/19

Derivative with arctan
I need help finding the derivative of (x arctan(x^2))^-2/3
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Derivative Calculus

03/20/19

Calculus (Derivatives)
11. The length L of the day in minutes (sunrise to sunset) x kilometers north of the equator on June 21 is given byL = f(x). What are the units of(a) f'(3000)? (b) f''(3000)?12. A high school... more
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Derivative Math Calculus Functions

02/26/19

Let f(x) = x^2. Calculate f(1+h) - f(1)/h and simplify.

f(1+h) - f(1) h
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Derivative Calculus

02/26/19

Calculus deriveatives
Let f(x)=xsin(x). Find f′′(3.2).
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02/25/19

Implicit differentiation of a clock face
The hour hand of a clock is 5 inches long and the minute hand is 7 inches long. At the moment the hour hand is positioned at 3 and the minute hand is positioned at 7, what is the instantaneous rate... more
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02/20/19

math 31 calculus question. Need help!!!!
A light airplane flies north at 250 km/hr. At the same time, another airplane starts from an airport 140 km north of the first airplane and is travelling east at 300 km/hr. What is the closest... more
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02/07/19

Find dy/dx if y=tan^-1(a+x/1-ax)
Tried solving this using the formula for d(tan^-1)/dx=1/(1+x^2), but was unsuccessful. I want to know how to solve this.
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01/15/19

A car traveling 25 m/s begins to decelerate at a constant rate of 8 m/s^2
After how many seconds does the car come to a stop?How far will the car have traveled before stopping?
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01/15/19

Difficult Calculus Problem
As water flows through a tube of radius R = 13 cm, the velocity v of an individual water particle depends only on its distance r from the center of the tube. The particles at the walls of the tube... more
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01/15/19

Find f '(x) and f(x).
f ''(x) = 36x,    f''(0) = 3,    f(0) = 2
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01/15/19

Help me solve this calculus problem, Please.
Solve the initial value problem.dy/dx = sec^2 (3x), y(pi/4)=9y=?
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Derivative Calculus

12/21/18

Roller Coaster Design
Imagine you are a roller coaster designer, and are asked to mathematically represent the curve of the first drop of a new ride. By looking at some of your favorite coasters, you determine that the... more
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Derivative Maths

12/10/18

What is the derivatives of y = (cos x)(1 − sin2x)
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Derivative Calculus Calc

12/09/18

Calculus (derivatives)
Calculus derivative helphttps://docs.google.com/document/d/1UfT3mFkkl48xP202eFL9o0CRVIq_YedMSSRpH5ztvX0/edit?usp=sharing(It wont let me add images so everything is in this google doc!)
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Derivative Math Calculus

12/05/18

find dy/dx by implicit differentiation. 8y^2-5x^2-5=0
what is dy/dy of 8y^2-5x^2-5=0
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12/03/18

Find an equation for the tangent line to the implicit curve at a point.
sin(x−y) =xcos(y+π/4) at the point (π/4, π/4)
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11/29/18

Use The Definite Integral (Riemann Sum) to evaluate integral (2+3x-x^2) where x is from 1 to 5?
The solution should include Δx and xi
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Derivative Calculus Integral

11/29/18

(Calculus 1 class) Use Newton's method to approximate the indicated root of the following equation: the root of tanx=x in the interval (pi/2, 3pi/2)
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