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a) i) find dy/dx of y = 3x^4 - 8x^3 - 3 ii) then find d^2y/dx^2 b) verify that x=2 at a stationary point on the curve c c) is this point a minima or a maxima

So the first step is to find the first differential of yTo do this we simply have to differentiate:so with C being our coefficient, n being the power that x is.we need to reduce the power of x by 1, whils...

Answered by Charlie M. • Maths tutor

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When you are working out dy/dx = 0, why do you do this and what does it mean?

It relates back to what we actually mean why we say dy/dx. Simply put, dy/dx means the rate of change of y with respect to the rate of change in x over a infinitely small space of time. Therefore, when we...

Answered by Matthew J. • Maths tutor

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Sketch the graph y=-x^3, using this sketch y=-x^(1/3)

The first step in figuring out this question is to first determine what the y=x³ looks like.If you are not already fimilar with this function, you can use some basic principles to find out wha...

Answered by Deloris O. • Maths tutor

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y = Sin(2x)Cos(x). Find dy/dx.

Assume base differentiation knowledge: Sin(x) = Cos(x), Cos(x) = -Sin(x)The question combines the chain and product rule. To begin, start by splitting the equation: Sin(2x)Cos(x) = Sin(2x) x Cos(x)The pro...

Answered by Saskya C. • Maths tutor

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