185 Answered Questions for the topic Differentiation

Differentiation Math Product Rule

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... more
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... more
Differentiation Math Calculus

07/06/18

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.... more
Differentiation

06/16/18

differentiate w.r.t 'x'

Cos(logx + ex)

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... more
Differentiation

04/24/18

Differentiate the function

g(x) = x2(1 − 8x)
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... more
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

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.
Differentiation Calculus Derivatives

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... more
Differentiation Calculus Derivatives Demand

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... more
Differentiation

02/26/18

HOW DERIVE THE Differentiation of a simple power FORMULA

(Xn+Δx)n-xn=
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

02/19/18

Find dy/dx where xe^y = 6y^3 - 8xy^2

I just dont know how to do it
Differentiation

02/19/18

Differentiate w=(tan(x)+cos(4x))^3

I just dont know how to do it.
Differentiation

02/10/18

Differentiate the Function

y=(3x-5)5 (5-x5)4dy =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... more
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... more

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... more
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... more

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