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How do I find where the stationary points of a function are?

If you were to draw a graph of the function, a stationary point would be a point on the graph where the gradient is zero, i.e the graph has no vertical slope. For example consider the function f(x) = 2. This...
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Answered by Laasya S. • Maths tutor
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With reference to one major international conflict. Assess and analyse the geographical impacts of the conflict on the areas involved.

The area I am going to look it is the state of Israel, and it's conflict with Palestine. The conflict is complex, with some of the issues stretching back to grudge matches from hundreds of years ago. The geo...
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Answered by Sam S. • Geography tutor
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How do I differentiate sin^2(x)?

To differentiate this, we must use the Chain Rule . This is because we have two functions multiplied by each other: (x) sin⁡(x). We use the substitution u = sin(x). This is our initial function, and we can s...
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Answered by Laasya S. • Maths tutor
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How to find the equation of a tangent to a curve at a specific point.

The first thing to remember is that the tangent to the curve at a given point has the same gradient as the curve at that point. Let's consider the general case y=f(x) at a point c=(x1,y1). Step 1:We have to ...
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Answered by Rafe L. • Maths tutor
10925 Views

Integrating cos^2(x)+5sin^2(x)

Firstly, note that cos^2(x)+5sin^2(x)= cos^2(x) +sin^2(x) +4sin^2(x). By trignoemtric identies, cos^2(x)+sin^2(x)=1 and so we can just integrate 1+4sin^2(x) since this is equal to cos^2(x)+5sin^2(x). Again, ...
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Answered by Rafe L. • Maths tutor
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