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Differentiate y = (6x-13)^3 with respect to x

We are looking for dy/dx, and in this question, the key rule to remember is the chain rule. Therefore the first thing to do is the easy step, take the 3 down and minus 1 from it, this will give 3(6x-13) 2 . ...
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Answered by Toby S. • Maths tutor
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The quadratic equation 2x^2 + 8x + 1 = 0 has roots a and b. Write down the value of a + b, a*b and a^2 + b^2.

Using Vieta's formulas, which make the correspondence between the sums and products of the roots of a polynomial and its coefficients, we can deduce that a + b = (-8)/2 = -4, a b = 1/2 =0.5 and a^2 + b^2 = (...
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Answered by Andreea I. • Maths tutor
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What is a geometric series?

A geometric series is a series with a constant ratio between successive terms.
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Answered by Ming Fung Y. • Maths tutor
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What is an Inverse function?

An inverse function is a function that "reverses" another function. That is, if f is a function mapping x to y , then the inverse function of f maps y back to x . [1]
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Answered by Ming Fung Y. • Maths tutor
5629 Views

How does filtration through the kidney work?

There are 3 key stages in filtration through the Kidney: Firstly, blood is pushed through a tubular structure called the glomerulus - imagine a bowl of noodles. The pressure of the blood in the glomerulus ca...
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Answered by Alastair P. • Biology tutor
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