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Find the stationary point(s) on the curve 2xsin(x)

Derivative of 2xsin(x): 2sin(x)+2xcos(x)Set derivative equal to zero: 2sin(x)+2xcos(x)=0Solve: only valid when x=0Therefore the only stationary point is (0,0) ie the origin.
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Answered by Seyi O. • Maths tutor
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How would you convert a recurring decimal to a fraction?

With this question, it is useful to work with a specific example, so let’s take the recurring decimal 0.27. The first step in converting it to a fraction is to set it equal to x, this will help us with our a...
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Answered by Matthew L. • Maths tutor
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How do I find the co-ordinates and nature of the stationary points on a curve?

The stationary points on a curve are the exact point of a maximum, minimum or point of inflection. They can be defined as points where the gradient, dy/dx = 0. You can show this by drawing a tangent to the c...
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Answered by Matthew L. • Maths tutor
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Let f(x)= 5x-10 and h(x)= -5/x. A) Find fh(x). B) Find hf(x)

A) Find fh(x) This question is asking you to find the result when the function h(x) is sent through f(x). It is also not giving any numbers so the answer should be in terms of x. To answer this you should si...
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Answered by Isobelle S. • Maths tutor
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Find the length of the longest side in this triangle.

Diagram of triangle with a right angle Two sides on the right angle = a & b a 2 + b 2 = c 2 Therefore, if a = 5 and b = 12: then c = 13.
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Answered by Colette M. • Maths tutor
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