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For the curve y = 2x^2+4x+5, find the co-ordinates of the stationary point and determine whether it is a minimum or maximum point.

Stationary points occurs when the gradient of the graph is equal to 0, i.e. dy/dx = 0. Differentiate y with respect to x to get dy/dx = 4x + 4.So making 4x + 4 = 0 gives x = -1. Substituting this into the...

Answered by Owen B. • Maths tutor

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Find the x co-ordinate of stationary point of the graph y=5x^3 +3x

When you differentiate the function that gives the gradient. Therefore differentiate to get dy/dx= 15x^2 + 3. Make this equal to 0 to get 15x^2 + 3=0 and rearrange to get the value of x as required so 15x...

Answered by Vinay J. • Maths tutor

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Factorise 5a – 3a^2

Answer: a(5-3a)Explanation: We take the highest common factor of both of the terms, which is a and we put it outside of the bracket. Then, in the bracket we put two terms that when multiplied by a, the pr...

Answered by Christina M. • Maths tutor

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Integrate ln(x)

Our A-level knowledge does not give us any identities to be able to integrate this from memory. But what we do have from memory is that the derivative of ln(x) is 1/x. Why would this help us? Let's take a...

Answered by James E. • Maths tutor

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