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Given y = x(3x+ 5)^3. Find dy/dx.

First we notice that y can be written as the product of two functions of x, u = x and v = (3x + 5)^3. This means we can use the product rule to differentiate which is dy/dx = uv' + vu'. We can plug our fu...

Answered by Michael S. • Maths tutor

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What does a derivative mean and why does setting it equal to zero allow us to find the minima/maxima of a function

The derivative of a function describes the gradient, also known as the slope. In the simplest terms, the slope defines the change in y divided by the change in x. So if there is a large increase in y for ...

Answered by Maxime D. • Maths tutor

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When would you use the imperfect tense, and how do you construct it?

It is used when:-Talking about something that used to happen, i.e. was ongoing for a period of time-The weather in the past-Physical description of something in the past-Talking about something that was h...

Answered by Wendy L. • French tutor

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A curve C has equation y = x^2 − 2x − 24x^(1/2) x > 0 find dy/dx

dy/dx = 2x -2 -12x^(-1/2)

Answered by Arshia S. • Maths tutor

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C. Explain why international relations improved in the period 1924-28 (12) (Edexcel History A)

An answer at an appropriate level, but top band: There were a variety of reasons why relations between nations improved in the period 1924-1928. The League of Nations had been formed during the Versailles...

Answered by Toby L. • History tutor

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