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The curve C has the equation 4x^2 - y^3 - 4xy + 2y = 0 . The point P with coordinates (-2, 4) lies on C. Find the exact value of dy/dx at the point P.

4x 2 - y 3 - 4xy + 2 y = 0To find dy/dx we need to differentiate all the terms in the equation. As you may notice the x's and y's are mixed together so we will have to use implicit differentiation. Since we ...
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Answered by Esther M. • Maths tutor
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Problem of Evil

Discussed in Interview
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Differentiate with respect to x: y=2^x

This question demonstrates how the exponential function can be used to simplify equations. In its current form the equation appears complex and the method is not clear. However, if we take the ln of both sid...
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Answered by Hugo W. • Maths tutor
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What does the primary structure of a protein refer to?

The primary structure of a protein is simply refers to a sequence of amino acids.
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Answered by Basel E. • Biology tutor
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What is eutrophication?

Eutrophication (also called algal bloom) is a massive growth of green plants in lakes and rivers, caused by the use of fertilisers in industry, washed off the land by rain.The fertilisers cause the green pla...
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Answered by Rhianna R. • Biology tutor
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