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Maths
A Level

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 i...

Answered by Toby S. Maths tutor
5055 Views

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, ab = 1/2 =0.5 and a^2 ...

Answered by Andreea I. Maths tutor
5568 Views

What is a geometric series?

geometric series is a series with a constant ratio between successive terms.

Answered by Ming Fung Y. Maths tutor
3951 Views

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...

Answered by Ming Fung Y. Maths tutor
4556 Views

How do I differentiate f(x) = cos(x)/x?

To answer this question you need to use the quotient rule. dy/dx = (vu' - uv')/v2.

U = cos(x) which differentiates to -sin(x) so u'= -sin(x)

v = x...

Answered by Ewan H. Maths tutor
10520 Views

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