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The Curve C has equation y = 3x^4 - 8x^3 -3. Find the first and second derivative w.r.t x and verify that y has a stationary point when x = 2. Determine the nature of this stationary point, giving a reason for your answer.

The first derivative is otherwise denoted by dy/dx.dy/dx = 12x^3 -24x^2.The second derivative is denoted by d 2 y/dx 2 , otherwise known as the first derivative of the function dy/dx.d 2 y/dx 2 = 36x^2 - 48x...
JB
Answered by Jemisha B. • Maths tutor
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given y = x^2 - 7x + 5, find dy/dx from first principles

using the delta method for first principles derivation: Define the differential: dy/dx = limit as h -> 0 f(x+h) - f(x)/h where f(x) = ysubstitute the equation into the differential: dy/dx = (x+h)^2 - 7*(x...
DB
Answered by Dafydd B. • Maths tutor
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Express 4x/(x^2-9) - 2/(x+3) as a single fraction in its simplest form.

Please refer to the link below as I found it very difficult to demonstrate the answer and couldn't seem to access the whiteboard function.file:///C:/Users/exr854/OneDrive%20-%20University%20of%20Birmingham/A...
ER
Answered by Ethan R. • Maths tutor
3754 Views

How do I solve x^2 > 6 - x

To solve this question we want to find the range of values that x can be to make the statement true. First we must treat it like a normal quadratic equation and move all of the values onto one side like so: ...
BH
Answered by Ben H. • Maths tutor
4670 Views

A circle A has equation x^2+y^2-6x-14y+54=0. Find a) the coordinates of the centre of A, b) the radius of the circle A.

The standard equation of a circle is in the form (x-a)^2+(y-b)^2=r^2, where the coordinates of the centre of the circle is (a,b) and the radius of the circle is r. Therefore, you must put the given equation ...
EQ
Answered by Evelyn Q. • Maths tutor
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