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Differentiate y=x/sin(x)

This equation has one function of x divided by another function of x, we therefore have to use the quotient rule and is written in the form f(x)/g(x). The quotient rule is therefore f'(x)g(x)-g'(x)f(x)/g 2 (...
RF
Answered by Rowan F. • Maths tutor
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What is the integral of ln(x)? Hint: use parts for this integration

We use parts for this integration even though there is only one term! make ln(x)=1ln(x) How to do integration by parts If you have a function that you need to integrate that is two functions of x multiplied ...
JW
Answered by Joseph W. • Maths tutor
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Find dy/dx where y=e^(4xtanx)

Here, we must apply both chain and product rules. The chain rule can be used to find the derivative of a function in the form e f(x) , like this one. However it is useful to know that this will result in the...
MK
Answered by Monique K. • Maths tutor
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How do you integrate by parts?

This is one of the trickier methods of integration, and it requires some practise. The basic idea is to split a function which would be difficult to integrate into two parts. Differentiating one part and int...
HM
Answered by Harry M. • Maths tutor
5785 Views

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 product ru...
CS
Answered by Caspar S. • Maths tutor
15818 Views