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What is the gradient of the graph y = 3x^2 + 5x + 2, when x is 4?

To find the gradient of the graph, we need to differentiate the equation. So if y = x n ==> the derivative dy/dx = nx n-1 This means that dy/dx = 6x + 5 for this equation So the gradient (dy/dx) when x = ...
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Answered by Rishabh H. • Maths tutor
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How to plot quadratic functions, e.g. F(x)= x^2 + 2x +1

What we require to plot this graph are the following: the general shape of the graph, the intercepts with the x and y axes and the maximum point/minimum point. All functions with x 2 as the highest order are...
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Answered by Alexandra S. • Maths tutor
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What is the difference between the median and the mean values for this set of data: 11, 9, 21, 6, 18, 2, 17, 8, 7.

Median: Reorder the data in numerical order, then select the value that lies directly in the middle of the data line - if there is an odd number of data, the median value is the middle number and if there is...
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Answered by James M. • Maths tutor
4243 Views

How do you solve simultaneous questions?

When an equation has two or more variables, for example and x and y, more than one equation is need to solve it. The number of equations needs is equal to the number of variables you have. For example, if yo...
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Answered by Elise S. • Maths tutor
4206 Views

How do I calculate where a function is increasing/decreasing?

This depends entirely on the gradient of the function, which is calculated as (dy/dx). At (dy/dx)= 0, the function is neither increasing nor decreasing, since the gradient is zero. The max number of stationa...
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Answered by Steve H. • Maths tutor
9802 Views