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How do I find the co-ordinates of a stationary point of a given line and determine whether it is a minimum or a maximum point?

When you find the first derivative of the equation and equate it to 0 then solve for x, you will find the x-coordinates of the stationary point(s) of the graph. For example, let's say f(x)=-x3+...

Answered by • Maths tutor
3969 Views

How do you find the first order derivative of sin(x) and cos(x) functions?

The general rules are:d(sin x)/ dx = cos xd(cos x)/ dx = -sinxHowever, if you have a constant k in the function such as y = sin(kx), the derivative will be dy/dx = kcos(kx). (For y = cos(kx), the derivati...

NS
Answered by Niusha S. • Maths tutor
5005 Views

Find the x-coordinates of any stationary points of the equation y = x^3 - 2x + 4/x

y = x^3 - 2x +4/x, dy/dx = 3x^2 - 2 - 4/(x^2) = 0 at the stationary points, 3x^4 - 2x^2 - 4 = 0, substitute in u for x^2: 3u^2 - 2u - 4 = 0, use the quadratic formula: u = (-(-2) +- sqrt((-2)^2 - 4

Answered by • Maths tutor
3885 Views

When should you use the subjunctive mood in Spanish?

It's important to note that the subjunctive is a 'mood', as opposed to a 'tense', like the present, past or future. The rule about when we use the subjunctive tense, therefore, is not dictated by ...

IL
Answered by Isobel L. • Spanish tutor
5539 Views

Describe the impacts of the government implementing a sugar tax on fizzy drinks?

A sugar tax would be a direct tax that would increase the price of fizzy drinks such as diet coke for consumers. This would make it more expensive for consumers to purchase fizzy drinks and would therefor...

SB
Answered by Samuel B. • Economics tutor
2538 Views

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