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A curve is defined for x > 0. The gradient of the curve at the point (x,y) is given by dy/dx = x^(3/2)-2x. Show that this curve has a minimum point and find it.

This is a typical exam style question, taken from an AQA paper. This question is testing your knowledge of stationary points and differentiation. Step 1: Find all stationary points by setting the first ...

Answered by Yishuang C. • Maths tutor

4348 Views

Solve 10x - 7 > 13x +2

x < -3

Answered by Nikhil M. • Maths tutor

2829 Views

Simplify: y+y-x×x

y+y=2y
x×x=x²
therefore, y+y-x×x=2y-x²

Answered by Kieran G. • Maths tutor

5841 Views

A circle has radius 6, what is its area?

Area=pi x r²r=6, hence Area =36pi

Answered by Anna S. • Maths tutor

3501 Views

The circle (x-3)^2 +(x-2)^2 = 20 has centre C. Write down the radius of the circle and the coordinates of C.

Radius = square root of 20
Centre = (3,2)

Answered by Jessica N. • Maths tutor

4627 Views

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Top answers

A curve is defined for x > 0. The gradient of the curve at the point (x,y) is given by dy/dx = x^(3/2)-2x. Show that this curve has a minimum point and find it.

Solve 10x - 7 > 13x +2

Simplify: y+y-x×x

A circle has radius 6, what is its area?

The circle (x-3)^2 +(x-2)^2 = 20 has centre C. Write down the radius of the circle and the coordinates of C.

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