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Maths
A Level

Some videos I've made

Prerequisite for addition formula: https://www.youtube.com/watch?v=iHZmi2MHqWc
 
Proof of formula for sin(A+B): https://www.youtube.com/watch?v=BEETggUVMrY
 
Proof of formula for cos(A...

Answered by Sam G. Maths tutor
4714 Views

How do you differentiate (3x+cos(x))(2+4sin(3x))?

Here we have a product of two things, so we will be using the product rule of differentiation. This is: for y=u(x)v(x), where u(x) and v(x) are funtions of x, dy/dx = u'(x)v(x) + u(x)v'(x). So in this ...

Answered by Jaisal P. Maths tutor
4904 Views

How to integrate cos^2(x) ? ("cos squared x")

We can't integrate cos^2(x) as it is, so we want to change it into another form. We can easily do this using trig identities.

1) Recall the double angle formula:

c...

Answered by Ella N. Maths tutor
726911 Views

How do you intergrate ln(x)?

There's a nice trick here you can do, treat the equation as 1*ln(x) then intergrate by parts.

Differentiating ln(x) gives 1/x, while intergrating 1 gives x

So your left with...

Answered by Oliver M. Maths tutor
7292 Views

what is implicit differentiation and how is it achieved?

First off, an explicit definition needs to be understood. An explicit definition is the standard form in which many equations are found:

y = f(x)        (1)

for example:  y=...

Answered by Jake S. Maths tutor
5175 Views

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