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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 case, ...
MH
Answered by Matthew H. • Maths tutor
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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 warming...
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Answered by Katie D. • Biology tutor
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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) is where the extracellular fluid h...
KD
Answered by Katie D. • Biology tutor
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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 different gr...
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Answered by Jigar P. • Maths tutor
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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 2cos(2...
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Answered by Greg M. • Maths tutor
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