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Maths
A Level

How do I use the product rule for derivatives?

Imagine a function f(x)=g(x)*h(x)    [that is, two functions multiplied together]

To find the derivative, f'(x)=g'(x)*h(x) + g(x)*h'(x)    

For example, f(x) = (3x2)*(cos x )     ...

Answered by James W. Maths tutor
3414 Views

How would you go about integrating a function which has an exponential and a cos/sin term?

For this type of integral you would need to use integration by parts twice. Remember this is where the integral of u*(dv/dx)=uv-(integral with respect to x)(v*(du/dx)). For example let's say you need to i...

Answered by Luke R. Maths tutor
3398 Views

I can differentiate exponentials (e^x), but how can I differentiate ln(x)?

[Differentiate y = ln(x)] This is an example of many situations in maths where you need to solve something that is similar to what you can solve, but not in its current form. A good idea, then, i...

Answered by Adam L. Maths tutor
2908 Views

Solve the equation 3x^2/3 + x^1/3 − 2 = 0

Let u = x^1/3 

The equation can therefore be written as:

3u^2+u-2=0

This can be factorised to:

(3u-2)(u+1)+0 

Therefore: u = 2/3 or u = -1 OR x^1/3 = 2/3 or x^1/3 = -1

Answered by Namita H. Maths tutor
8788 Views

How do you differentiate using the chain rule?

In order to differentiate using the chain rule,you first need to know the chain rule. Chain rule : dy/dt * dt/dx = dy/dx.

It is basic multiplication to get rid of the common factor of 'dt' in both ...

Answered by Niha G. Maths tutor
3039 Views

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