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Find the stationary points of the function y = (1/3)x^3 + (1/2)x^2 - 6x + 15

A stationary point is a point on the function where the gradient is zero. The phrase 'stationary point' coming up in a question always indicates that differentiation may be useful to solve it. In this cas...

MH
Answered by Matthew H. Maths tutor
9949 Views

Describe and explain some of the direct and indirect effects of carbon dioxide on organisms?

Carbon dioxide only comprises 0.04 % of the earth’s atmosphere but it is a vital molecule in many processes and effects organisms directly with photosynthesis in plants, body functions causing global warm...

KD
Answered by Katie D. Biology tutor
18620 Views

Explain these 3 terms in relation to cells and osmosis: isotonic, hypertonic and hypotonic?

These 3 terms all describe the 3 possible concentrations of a solution in respect to the water potential surrounding a cell.Isotonic solution (Iso=same and tonic=strength...

KD
Answered by Katie D. Biology tutor
45211 Views

What is Differentiation?

We use differentiation to generally find the rate of change for a function. This could also be interpreted as finding the gradient of a curve. e.g. y = x ^ 2.

If you consider the curve, it has a di...

JP
Answered by Jigar P. Maths tutor
5156 Views

Differentiate the function y = cos(sin(2x))?

To differentiate this function you will need the chain rule - differentiating what's inside the brackets and multiplying it by differentiating what's outside the brackets. In this case sin(2x) goes to 2co...

GM
Answered by Greg M. Maths tutor
11324 Views

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