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How do you find the gradient of a line at a certain point when f(x) is in the form of a fraction, where both the numerator and denominator are functions of x?

Take the example f(x)=(2x^2+1)/(3x+5) , where we're finding the gradient at x=0. First, you need to differentiate f(x) to get f'(x). Because f(x) is a fraction where both the numerator and denominator are fu...
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Answered by Phoebe E. • Maths tutor
7012 Views

How do you find the turning points of a graph and how do you if the point is a maximum or a minimum?

Firstly you have to find the turning points of the graph. This is done by differentiating the equation of the line. Once you have found this first derivative, equate the equation to zero. Now solve the equat...
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Answered by Harry H. • Maths tutor
27610 Views

When do I need to use the subjunctive in French?

Although the subjunctive is becoming less common in informal spoken French today, it is still important for you to be able to recognise it and form it for use in written language. The subjunctive isn’t actua...
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Answered by Leah M. • French tutor
3705 Views

Solve the inequality x/(x+2) ≤ 4/(x-3) for x ≠ -2 or 3

First we need to find the critical values. To find the critical values we must rearrange the equation and then replace the inequality symbol with an equals sign. The ≤ can be treated as an equality as long a...
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4629 Views

What is a coordinate?

It is a point on a graph described by its numerical values. For example (2,3) would be 2 along the x-axis and 3 along the y-axis.
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Answered by Edward S. • Maths tutor
4357 Views