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A curve has equation y=2x^3. Find dy/dx.

We differentiate here to find the gradient, dy/dx, i.e. the differenitial of y in terms of x. As the right handside is purely dependant on x, this is simple. We can just multiply through by the power, i.e...

Answered by Claire T. Maths tutor
3988 Views

How do I find the stationary points of a curve?

For a curve where y = f(x) the gradient of the curve is the derivative of this equation dy/dx. Stationary points of a curve occur when the gradient of the curve is zero. Hence find the expression for dy/d...

Answered by Anna M. Maths tutor
3113 Views

Solve 2x-5=3x+4

2x-5=3x+4 Firstly, you move the +4 to the other side (-5-4=-9). The equation should now look like: 2x-9=3x. You then move the 2x to the other side (3x-2x=x) so your answer would be x=-9

Answered by Amelia W. Maths tutor
6424 Views

A lorry can travel 35 miles per litre of diesel that costs £7.30 per litre. What is the cost in £ (to the nearest 2 decimal places) of the diesel used in driving the lorry 200 miles?

Firstly, we want to start off by calculating how many litres of diesel the lorry uses when it drives for 200 miles. We know that with 1 litre of diesel, the lorry can drive for 35 miles. Knowing this, we ...

Answered by Robert F. Maths tutor
3092 Views

What is calculus?

Finding the gradient or area underneath a graph

Answered by Andrew G. Maths tutor
3185 Views

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