185 Answered Questions for the topic Differentiation

Differentiation

02/14/17

If x(1+y)^2 + y(1+x)^2 = 0 Prove that dy/dx= -1/(x+1)^2
Question of differentiation calculus.....
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Differentiation Math Calculus Critical Point

02/08/17

Extending Differentiation
Find the coordinates of the stationary (critical) point of the curve with equation y=1/(x2+4) 
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Differentiation Math Calculus Chain Rule

02/08/17

Extending Differentiation
Given that y=1/2x-1 + 1/(2x-1)^2, find the exact value of dy/dx when x=2
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02/06/17

Use differential equation and given point to find f(x)
Use the differential equation and the given point to find f(x).    dy/dx= (-48)/(3x+5)^2             Point: (-1,3)
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Differentiation

01/21/17

Use implicit differentiation to find the derivative of: 2cos(SQRTx)+(2/(SQRTy))=4
Use implicit differentiation to find the derivative of: 2cos(SQRTx)+(2/(SQRTy))=4    
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12/27/16

part of the curve y=k(x-2)^3,k is constant.The curve intersects the straight line x=4 at point A.At point A dy/dx =36 .Find the value of k.
there is a diragram but I can't show it here
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Differentiation

11/14/16

Find the differential of each function.
Find the differential of each function.   a) y = e^(tan((pi)t)b) y = (9+ln(z))^1/2
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Differentiation Extreme Point

11/13/16

Prove that the function: f(x)=x^101+x^51+x+1, has neither a local maximum or minimum.
I have tried to differentiate the function into f'(x)=101x100+51x50+1 and solve it to 0101x100+51x50+1=0101x100+51x50=-1x50(101x50+51)=-1Did i do it wrong .... Cause it seems it doesn't like the... more
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Differentiation Calculus Derivative

11/09/16

Finding the derivative
1) Find dy/dx for e^(x+y)=y   2) y=csc(5x^4)    
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Differentiation Velocity

11/09/16

Velocity of balls
Two balls start at the same instant and move slowly along the same straight line. The first and second balls have a displacement of B1 and B2 metres resp.    What time will they have the same... more
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Differentiation

10/31/16

If a ball is thrown vertically upward with a velocity of 160 ft/s, then its height after t seconds is s = 160t - 16t^2.
If a ball is thrown vertically upward with a velocity of 160 ft/s, then its height after t seconds is s = 160t − 16t^2.   What is the maximum height reached by the ball?   What is the velocity... more
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Differentiation

10/31/16

find the derivative of : (sin(9x))^ln(x)
find the derivative of : (sin(9x))^ln(x)
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Differentiation

10/31/16

differentiate: ln(sqrt((b^2-z^2)/(b^2+z^2)))
differentiate: ln(sqrt((b^2-z^2)/(b^2+z^2)))
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Differentiation Maths Cie 9709

10/30/16

DIFFERENTIATION
The diagram shows the curve y = (3 − x)e^−2x and its minimum point M. The curve intersects the x-axis at A and the y-axis at B. (i) Calculate the x-coordinate of M
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10/23/16

find dz/dt of z^2=x^2+y^2 with z>0
dx/dt=2,dx/dt=2, and dy/dt=6,dy/dt=6, find dz/dtdz/dt when x=6x=6 and y=8.   z^2=x^2+y^2 z=(x^2+y^2)^(1/2) dz/dt= ..I'm stuck at this point how do I differentiate it with the square root?
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Differentiation

10/17/16

a man of height 1.8m walks away from a 5 m lamppost at a speed of 1.2m/s. find the rate at which his shadow is increasing in length
what type of equation do you use to figure this problem out? 
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Differentiation

09/25/16

DIfferentiation
``Given that dy/dx=(a/x^2)+1 and that when x=1 dy/dx=3 and y=3 find the value of y when x=2.''.
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Differentiation

08/29/16

Rates of Change
A container is being filled with water. After t seconds the depth of water, x cm, in the container is increasing at the rate of 1.44tcm/s.Given that the container is empty when t=0, use calculus to... more
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Differentiation

08/15/16

DIfferentiation
The curve y=ax^3+2x^2+a^2 x+b has a minimum point at (-1,0). Find a and b.
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Differentiation

08/07/16

Higher derivatives
Prove that the curve y=3x^4+kx has only one turning point.
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Differentiation

06/30/16

differentiable fuctions
If f is differentiable in (0,6) & f'(4) =5 then find lim[ f(4) -f(x2)]/[2-x] where x approaches to 2f'(x) = g(x) and g'(x) = -f(x) for all real x and f(5) =2 = f'(5) then find f2(10) + g2(10)
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Differentiation

06/29/16

differentiation of a function
Prove dy/dx = sec x for y= ln tan(π/4 + x/2)
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Differentiation

06/29/16

derviable function
Let f(x+y) -f(x) = f(y) -1 +2xy , xy is real f(x) is differentiable and f'(0) =1 Then domain of ln(f(x))
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06/26/16

use implicit differentiation to find y'
x+2y=sqrt(y)
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04/23/16

Two bicyclists finish a race in 2 hours and 15 minutes. Prove that at some time during the race, the bicyclists are traveling at the same velocity.
I need help ASAP please!!
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