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If y = (4x^2)ln(x) then find the second derivative of the function with respect to x when x = e^2 (taken from a C3 past paper)

The first thing to recognise is that this function is a product of two functions: namely, 4x^2 and ln(x), thus we must employ the product rule in order to find the solution. As you may recall, the prod...

CS
Answered by Caspar S. Maths tutor
15510 Views

How to solve the simultaneous equations 3x+2y=7 and 5x+y=14

Firstly we rearrange one of these equations so that we have y on one side of the equation on its own. Let's do this with the second equation.

So from 5x+y=14, we can minus 5x from both si...

IB
Answered by Imogen B. Maths tutor
9572 Views

How would you solve a quadratic equation by factorising?

Solve the equation :  x2 - 8x + 15

The first step is to factorise the quadratic equation.

1. You must find two numbers which will add to g...

AG
Answered by Angelin G. Maths tutor
5261 Views

Find the exact gradient of the curve y=ln(1-cos2x) at the point with x-coordinate π/6

This is a past paper question for an A level OCR MEI paper for Maths.We need to find the gradient of the curve so we know right away that we need to use differentiation.The equation y = ln(1-cos2x) is dif...

CH
Answered by Catherine H. Maths tutor
14328 Views

How can I derive an equation to find the sum of an arithmetic sequence?

This isn't a requirement of many courses but understanding and proving mathematics has order is what makes mathematics unique and enjoyable to many.
Imagine the sum of a seque...

RH
Answered by Rhys H. Maths tutor
4793 Views

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