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Find the stationary point of the curve y=3x^2-2x+2 and state the nature of this stationary point.

The stationary point is a minimum point. I will run through the working out for the question using the whiteboard in the session as it is difficult to demonstrate without relevant formatting.

Answered by William L. Maths tutor
3055 Views

Differentiate the function y = (x^2)/(3x-1) with respect to x.

This requires use of the quotient rule: d/dx[f(x)/g(x)] = [g(x)f'(x) - g'(x)f(x)]/[g(x)^2]dy/dx = ([(3x-1)*2x] - 3x^2)/[(3x-1)^2],= (3x^2-2x)/[(3x-1)^2],=[x(3x-2)]/[(3x-1)^2]

Answered by Ted S. Maths tutor
5897 Views

A curve has equation y = x^3 - 3x^2 -24x + 5, find the x co-ordinates of the two stationary points of the curve and hence determine whether they are maximum or minimum points.

y = x3 - 3x2 - 24x + 5, First, calculate the derivative of y and find its roots when y = 0:dy/dx = 3x2 - 6x -24 = 0 -> x2 - 2x - 8 = 0 -> (x+2)(x-4) = 0Th...

Answered by Ted S. Maths tutor
6988 Views

How do you find the gradient of a linear line just by looking at the graph?

When finding the gradient of a line we need to first locate any two points, on the line, where we know the x-coordinates and we know the y-coordinates. Now, with these two coordinates we need to find two ...

Answered by Jozef S. Maths tutor
2399 Views

What is the coefficient of the x^3 term in the binomial expansion of (2x+(1/3x^2))^9

512

Answered by Andrew W. Maths tutor
3161 Views

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