Top answers

Find the x value of the stationary points of the graph y = x^2e^x

The problem here can be solved quite easily by thinking about the graph. A stationary point occurs on a graph when it becomes 'flat'. You can think of this visually as the top of a hill or the bottom of a di...
SM
Answered by Serkan M. • Maths tutor
9773 Views

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
6137 Views

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
9028 Views

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
3691 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
4604 Views