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Differentiate: ln((e^x+1)/e^x-1))

Chain rule: First resolve the log differential, then resolve the fraction integration either by knowing the formula for it or by writing (e^x+1)/(e^x-1) as (e^x+1)(e^x-1)^(-1) and applying chain rule agai...

Answered by Mihai V. Maths tutor
2782 Views

A machine is used to manufacture custom spoilers for two types of sports car( Car A and Car B0. Each day, in a random order, n are produced for Car A and m for Car B. What is the probability that the m spoilers for Car B are produced consecutively?

First we look at the probability of producing a total ensemble which is 1/(n+m)!. This is in any random order and any part either m or n
To further see what is going on let’s take some example let’s ...

Answered by Mihai V. Maths tutor
2443 Views

Differentiate 6x^(7/2)-5x^2+7

42x^(5/2)-10x

Answered by Adam H. Maths tutor
3246 Views

The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Work out the area of the triangle.

So, working out the different side lengths of the triangle is going to help find the area at the end. We split the ratio up into 3s and show them as a proportion of the whole perimeter. For example, one s...

Answered by Roberto G. Maths tutor
8716 Views

The curve C has the equation: 16y^3 +9x^2y-54x=0, find the x coordinates of the points on C where dy/dx = 0

C: 16y3 + 9x2y -54x = 0 d/dx(16y3) + d/dx(9x2y) + d/dx(-54x) = d/dx(0).............=>48y2.dy/dx + 9x2.dy/dx + y.18x - 54 = 0 dy/dx(48y<...

Answered by Elliot P. Maths tutor
7521 Views

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