356 Answered Questions for the topic Derivatives
Derivatives
10/01/17
Need help urgently
1. Find the equation of the line tangent to the curve 𝑦 = 1 √𝑥2+2 at 𝑥 = −1. Do not use the derivatives rules. Use the limit definition to calculate the derivative. [5 marks]
need solution urgently
09/21/17
Find exact equation of tangent line and normal line
find equation of tangent line and normal line given x2/25 + y2/9 = 1 with coordinates (5sqrt(2)/2, 3sqrt(2)/2)
Derivatives Tangent
09/20/17
Find the exact Value of c
Find the exact Value of c on f(x) = c/x so that f(x) is tangent to x2/25 + y2/9 = 1
Find the equation of the curve with the derivative of y with respect to x given as (2/√x)-x, passing through the point (2,1)
Hi, can anybody help me with the following question? "Find the equation of the curve with the derivative of y with respect to x given as (2/√x)-x, passing through the point (2,1)"
07/28/17
Rate of Change
An object is moving in a straight line from a fixed point. The displacement s(in meters) is given by s=-2t^2+28t+45, t is greater than or equal to 0, where t is in seconds.
1. Describe the...
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07/28/17
Rates of Change
An object is moving in a straight line from a fixed point. The displacement s(in metres) is given by s=-2t^2+28t+45, t is greater than or equal to 0, where t is in seconds.
Find t when the...
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07/28/17
Optimization
Dianna wants to enclose a rectangular flower plot that adjoins a brick retaining wall. If she has only 30 m of decorative fencing, what should be the dimensions of the flower plot be so that she a...
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07/27/17
Optimization
You want to produce a cylindrical water container with a capacity of 350mL. What dimensions will minimize the amount of material required for the container?
Calculus Question
Differentiate y = (2x+5)^3(6x-1)^5. Express your answer in factored form.
07/13/17
how do you prove that the derivative of x^n is nx^n-1
how do you prove that the derivative of x^n is nx^n-1
Derivatives
07/11/17
Derivative based question
If f(x) is a function such that f(x) + f''(x)=0 and g(x)= (f(x))²+(f'(x))² and g(3)= 8, then g(8)= ?
Derivatives
06/27/17
Given that f '(20) = 3, what is the approximate change in the revenue if Odyssey increases its advertising budget from $20,000 to $21,000?
i have tried to understand this but i cannot and my homework is due at 6 pm! Please help
05/20/17
Derivative/Calculus question
Calculus Question - Please helpAn object is thrown from a height H above an uneven ground described by a height function h(x). Suppose that the object can be thrown with maximum velocity v at an...
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What is the integral of a function: (e^(-x))cos(x/2) dx ??
The answer which I got was (e^(-x))sin(x/2)-cos(x/2)(e^(-x))
However all the math solvers on the internet are giving different answers. Could you clear things up and tell me a definite...
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04/24/17
Help proving differential equation
I', really stuck on this one HW question:
I have to show how dC/dt = (D * (d^2C/dx^2)) + P at steady state (so when cD/dt =0)equals: (d^2C/dz^2) + (Pa^2/D C(a)) = 0 using C= C(x)/C(a) and z=x/a...
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Derivatives
04/22/17
The height reached in time t by a particle thrown upward with a speed u is given by h=ut-1/2gt^2. Find the time taken in reaching the maximum height.
(Hint for h to be maximum, dh/dt=0)
Derivatives
04/02/17
derivitives
The length of a rectangle is given by the function l(t)=6t+5 and its height is given by the function h(t)=the sq root of t, where t is time in seconds and the dimensions are in centimeters. Find...
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Derivatives
04/02/17
derivative quiz
find where (what are the coordinates) the tangent line to the graph of f(x)=(x+1)/(x-1) is parallel to the line whose equation is 2y+x=6
Derivatives
03/22/17
Maximize Revenue
A fitness club sells its memberships at a fee of $100/month. The club sells 30 memberships per month. CEO of this club estimates that every $10 discount in membership fee, number of users will...
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Derivatives
03/22/17
Find distance on field and highway that'll minimize cost. Also, determine total cost.
A cable company is to connect cable to a house. house is located 3 km from highway, and cable source is located 20km down the highway from the closest point to the house. The cost to lay the cable...
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03/18/17
Suppose that the demand of a certain item is x=100e^(−0.02p). Evaluate the elasticity at 40:
Suppose that the demand of a certain item is x=100e^(−0.02p)
Evaluate the elasticity at 40:
03/15/17
Calculus related rates
A plane flying horizontally at an altitude of 4 mi and a speed of 465 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing...
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