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Find the exact gradient of the curve y = ln(1-cos 2x) at the point with x-coordinate π/6.

The gradient to the curve is given by the derivative of the function y = f(x) = ln(1 - cos 2x). This function is a composition of two other functions so we need to use the chain rule to find the derivative. ...
AR
Answered by Archie R. • Maths tutor
7970 Views

How do I integrate tan^2 x?

Firstly, use the trigonometric formula tan 2 x = sec 2 x - 1 , which you can easily derive from sin 2 x + cos 2 x =1, by dividing both sides by cos 2 x and re-arranging. Now, you should remember that differe...
JC
Answered by Jakub C. • Maths tutor
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Integrate 2x^5 - 1/4x^3 - 5

I = x 6 /3 - x 4 /16 -5x + C
RC
Answered by Rocio C. • Maths tutor
3468 Views

What is a Binomial distribution and when, in an exam, should I use it?

The Binomial distribution is a sequence of N trials which each have a probability, p, of occurring. Each trial is either successful (with probability p) or not. It can be used to give us the probability of c...
DB
Answered by Dean B. • Maths tutor
4297 Views

Integrate (x^2 +2)(2x-6) with respect to x.

For a simple integration like this, begin by expanding the brackets to get 2x 3 -6x 2 +4x-12. Next each term should be integrated with respect to x, begin with the first term, each peer should be raised by 1...
NB
Answered by Nicholas B. • Maths tutor
3776 Views