185 Answered Questions for the topic Differentiation

Differentiation Math One To One Onto

11/14/17

Deriving functions Problem
Suppose that g is a real valued, differentiable function whose derivative g' satisfies the inequality |g'(x)|less than or equal to M for all x in R.Show that if epsilon is greater than 0 is small... more
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Differentiation Calculus

11/12/17

for which values of a and b will h(x) be differentiable at x= 0
h(x) = e^(ax) for x≤ 0        = √(x+b) for x>0   for which values of a and b will h(x) be differentiable at x= 0 ?   if it is differentiable, d/dx [e^(ax)] should equal d/dx... more
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Differentiation Theorems

11/12/17

true/ false calculus questions
If f is continuous on [0 , 1] , then it is also differentiable on [0 , 1] .  i think this is true, but. is there a particular theorem to prove this?   If f is differentiable on [0 , 1] , then... more
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Differentiation

11/03/17

maximum possible area of a rectangular garden of perimeter 140 meters and the maximum number of beds that can fit in it and the maximum number of perimeter pole
use differentiation 
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Differentiation

11/01/17

Let f(x)=(4x-5)^(1/2). Find formula for f^(n)x
Find a formula for f^n
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08/21/17

Differential Equations
Differential equations are often referred to as mathematical models. Explain what the phrase“mathematical model” can mean, experiences withmathematical models, and how the mathematical use of the... more
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Differentiation Calculus 1

08/16/17

Differentiation Confusion
If we expand (3x^2 - 1)^4 we get,   (3x^2 - 1)^4 = 81x^8 - 108x^6 + 54x^4 - 12x^2 + 1   If we derive (3x^2 - 1)^4 we get, (via chain rule)   24x(3x^2 - 1)^3   However if we derive (81x^8 -... more
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Differentiation Math Calculus Math Help

08/13/17

Calculus question
A solid is formed by attaching a hemisphere to each end of a cylinder. If the total volume is to be 120cm3, find the radius (in cm) of the cylinder that produces the minimum surface area. Express... more
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Differentiation Math Calculus

07/19/17

calculus Question
At what point is the tangent to the curve defined by the function f(x) = 4x2-x+5 parallel to the line y-15x=1?   Help!
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Differentiation Math Calculus Math Help

07/18/17

Calculus Question
Differentiate 2xy-17=-3x2 to find the slope at point (2,5).   help?!
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Differentiation Math Calculus Math Help

07/18/17

Calculus Question
Differentiate y = (2x+5)^3(6x-1)^5. Express your answer in factored form.
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Differentiation Proofs Maths Derivatives

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
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Differentiation

07/10/17

Given the function
y= 1/3x3+x2-35x+10 i)Determine the critical values and find out whether these critical values are maxima or minima   ii) Determine the extreme values (y values) at the maxima and minima of the... more
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Differentiation

07/10/17

Differentiate Y =3x5 +14x3 +16x +10
differentiate Y = 35+14x3+16x+10
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07/10/17

Finding tangents
Show that 3x + 4y + 25 = 0 is a tangent to the circle x^2 + y^2 = 25
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Differentiation Calculus

06/29/17

Calculus - rates of change
A cube of ice is melting at a uniform rate. The initial volume of the cube is 20 cm^3, and the volume after five minutes is 15 cm^3. Find the rate at which the edge of the cube is decreasing after... more
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Differentiation

05/31/17

Differentiation of equation
Can you help me differentiate y=(4x^2+4)/5 and explain why you should not use the quotient rule for this?
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Differentiation

05/28/17

differentiate
-53x^2
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Differentiation

05/25/17

differentiate with respect to x ax^2+2hyx+by^2
differentiate with respect to x ax^2+2hyx+by^2
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Differentiation

05/25/17

if y=1+x+x^2/2!+x^3/3!=.............+x^n/n! then prove that dy/dx+x^n/n!=y
if y=1+x+x^2/2!+x^3/3!=.............+x^n/n! then prove that dy/dx+x^n/n!=y
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Differentiation

05/21/17

what is the second derivative of f(x) if f(x)=tan^-1 (x)
 differentiation 
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Differentiation

05/03/17

Check the continuity of the function f given by f(x) = 2x + 3 at x = 1.
Business mathematics
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Differentiation Calculus Ib

04/27/17

Application of differentiation
The velocity v m s –1 of a particle at time t seconds, is given by v = 2t + cos2t, for 0 ≤ t ≤ 2. (a) Write down the velocity of the particle when t = 0.   When t = k, the acceleration is... more
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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... more
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Differentiation Maximum Value

04/14/17

i want to build a small rectangular gardening area at the back of my house with the perimeter 1500m of fencing.
the fence is required along remaining 3 sides of the area. what is the maximum area that can enclosed with 1500m of fencing?
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