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Find the stationary points of the function y = (1/3)x^3 + (1/2)x^2 - 6x + 15

A stationary point is a point on the function where the gradient is zero. The phrase 'stationary point' coming up in a question always indicates that differentiation may be useful to solve it. In this case, ...
MH
Answered by Matthew H. • Maths tutor
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3x+5y=7 and 9x+11y=13. Solve to find the values of x and y that satisfy both equations.

As there are two unknowns we have to eliminate either the x or the y in order to be able to solve. You can see that in the first equation the x value is a multiple of the x value in the second equation. Ther...
GS
Answered by Georgina S. • Maths tutor
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What is Differentiation?

We use differentiation to generally find the rate of change for a function. This could also be interpreted as finding the gradient of a curve. e.g. y = x ^ 2. If you consider the curve, it has a different gr...
JP
Answered by Jigar P. • Maths tutor
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Differentiate the function y = cos(sin(2x))?

To differentiate this function you will need the chain rule - differentiating what's inside the brackets and multiplying it by differentiating what's outside the brackets. In this case sin(2x) goes to 2cos(2...
GM
Answered by Greg M. • Maths tutor
11511 Views

Solve the following simultaneous equations: 3x - y = 1, 2x + 2y = 2

When we are asked to solve simultaneous equations, what we are being asked to do is find the point where two lines cross. In this case, where we are given two straight lines, there will only be one point whe...
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Answered by Eleanor H. • Maths tutor
6246 Views