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b) The tangent to C at P meets the coordinate axes at the points Q and R. Show that the area of the triangle OQR, where O is the origin, is 9/(3-e)

If I were to get the job, I would get a writing board to help explain this. But to approach this question, it's a good idea to draw the graph. You know that the tangent line is a straight line and as the x a...
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Answered by Sophie H. • Maths tutor
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The curve C has the equation y = 2e^x -6lnx and passes through the point P with x - coordinate 1. a) Find the equation to the tangent to C at P

y = (2e-6)x + 6
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Answered by Sophie H. • Maths tutor
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What is the chain rule? when do I have to use it?

The chain rule is the technique used for differentiation when the equation you're trying to differentiate contains a function of a function. Consider ln(x). You should know this differentiates to 1/x. If how...
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Answered by Alex R. • Maths tutor
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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
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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
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