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Why is the derivative of ln(x) equal to 1/x.

This fact can be deduced several ways, and I would encourage tutees to find other methods, (such as using implicit differentiation, or the chain rule.) However one of the simplest explanations is given be...

CV
Answered by Christopher V. Maths tutor
6947 Views

There are 40 counters in a bag. 13 are red, 20% are green and the rest are yellow. What proportion of counters are yellow?

20% green counters - means 1/5 of all counters are green. 1/5 of 40 = 40/5 = 8 counters are greenthe number of counters that are green + the number of counters that are red = 8 + 13 = 21the number of coun...

Answered by Maths tutor
3162 Views

Solve x^(2) + 7x + 6 = 0.

1) Factorise x2 + 7x +6 Numbers that multiply to make +6: 6 and 1, -6 and -1, 3 and 2, -3 and -2...

RH
Answered by Rebecca H. Maths tutor
2811 Views

The curve y = 2x^3 -ax^2 +8x+2 passes through the point B where x = 4. Given that B is a stationary point of the curve, find the value of the constant a.

y=2x3 - ax2 + 8x +2. If we are told that B is the stationary point of the curve, then it is at that point where the gradient of the curve is equal to 0. In order to find the gradient...

FM
Answered by Frazer M. Maths tutor
3971 Views

A and B are points on a circle, centre O. BC is a tangent to the circle. AOC is a straight line. Angle ABO = x°. Find the size of angle ACB, in terms of x. Give your answer in its simplest form. Give reasons for each stage of your working.

(This question is from the Edexcel Higher GCSE paper 2018) As BC is a tangent to the circle, we know that angle OBC must be a right angle (90 degrees)We also know that lines OA and OB are both the same le...

RT
Answered by Rachel T. Maths tutor
10559 Views

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