185 Answered Questions for the topic Differentiation
07/14/18
Differentiation
y= -x5(1 - x)
I have to use the product rule to answer this question.
The answer is 6x5 - 5x4
Can someone explain this to me and show how to solve it?
Thank you so much!
Differentiation Math
07/10/18
Help with differentiation - Determine coordinates of local extreme
Need help with a question on differentiation.
*Determine the exact coordinates of the local extreme(s) of the following function. Also indicate whether it concerns a local minimum or a local...
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Differentiation
07/07/18
differentiation
b) For the curve 𝑦=𝑥𝑒^−𝑥^2 ,𝑥 ≥0 i. Find the coordinates of the point where the gradient is 0 giving your answers exactly.ii. Show that the line 𝑦=𝑥 is a tangent to the curve 𝑦=𝑥𝑒−𝑥2 and give the...
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Help regarding optimization problem
In order to construct a box whose base length is 3 times the base width with volume of 50 ft^3, using materials to build the top and bottom that cost $ 10 per ft^2 and $ 6 per ft^2 for the sides....
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06/10/18
Proving continuity of a differentiable function.
Hi
I have been given a function f:(a,b)→R, which is differentiable on (a,b). How do I use this information to prove that f is also continuous on (a,b)?
Thanks.
Differentiation Intergration
05/13/18
A curve is defined for x>0. the gradient of the curve at the point (x,y) is given by dy/dx = x^3/2 - 2x
I need help with part C as i am unsure what value i should put into x to find the +C
part a + b + c: a) show that there is a single value of x for which the curve has a stationary point b)find...
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Differentiation
05/03/18
Find two positive numbers that sum to 4 and such that the sum of the cube of the first and the square of the second is as small as possible
Calculus, Differentiation
Differentiation
04/23/18
How to find the angular velocity for a system after 12 seconds and report in rad/s
A system in a lab is tested under two different conditions. The angular acceleration of the system s described by the equations: a(t)=d^2const/dt^2=10cos (5t).
Find the angular velocity of the...
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Differentiation Acceleration
04/21/18
Find the angular velocity of the system after 12 seconds
The angular acceleration of a system is described by the following equation: a(t)=d^2Radians/dt^2=10cos (5t).
Find the angular velocity of the system in radians after 14 seconds
Differentiation Stationary Points And Stationary Values
04/02/18
Find the stationary points and stationary values of the function :- F(x) = x^3 - 3x^2 - 9x + 5.
F(x) = x^3 - 3x^2 - 9x + 5.
03/11/18
A car leaves an intersection traveling west. Its position 4 sec later is 22 ft from the intersection. At the same time, another car leaves the same intersection
A car leaves an intersection traveling west. Its position 4 sec later is 22 ft from the intersection. At the same time, another car leaves the same intersection heading north so that its position 4...
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03/01/18
Elasticity of Demand
For the following demand equation compute the elasticity of demand and determine whether the demand is elastic, unitary, or inelastic at the indicated price. (Round your answer to three decimal...
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Differentiation
02/22/18
If y=log (rootx + 1/rootx)^2, then prove x (x+1)^2 y2 + (x+1)^2 y1 = 2
Y2 means d^2y/(dx)^2
Y1 means dy/dx
Differentiation
02/02/18
f(x) is a polynomial and f(3x)=f'(x) f''(x) find f'(2) and f''(2)
It is a multiple choice question of entrance examination
Differentiation Natural Logs
01/05/18
Differentiation- Urgent help needed
let 𝑈(𝑥, 𝑦) be defined for all x > 0, y > 0 by𝑈(𝑥, 𝑦) = ln(𝑥^a+y^a)-Ln(y^a) where 𝛼 is a positive constant
find U'1(x,y), U'2(x,y) and U''12(x,y)
Differentiation
12/17/17
Differentiation
A) a graph shows a part of the curve with the equation y - 2x2(x-3).
A) find the co-ordinates of the stationary points on the graph and determine the nature.
B) state the range of values of K for...
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Differentiation
12/17/17
Differentiation
a winding river has been modelled by the curve y=x3 - x2 -6x -2 and a road has been modelled by a straight line named AB. the road is a tangent to the river at the point A(1,-8).
find the equation...
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11/21/17
please explain how to solve this, its about differentiation
given f(x) = -1/4 * ln3 * (x-1)^2 * (x-4)^2
and let us define g(x) = f(e^x)
the solution for the following eqution
g(g(x))=g(x) has 6 different solutions, why?
i guess the question is asking...
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Differentiation Level Curve
11/18/17
Question about level curves
find the slope of the tangent of the level curve y^3+3x^2y=-13 at an arbitrary point on the curve, and find in particular the equation of the tangent at the point( 2,-1)
c) examine whether the...
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