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For y=x/(x+4)^0.5, solve dy/dx

As x is present as both numerator and denominator (top & bottom), we're going to use the quotient rule to solve this. The quotient rule is as follows:For y=f(x)/g(x), dy/dx=(f'(x).g(x)-f(x).g'(x))/((g(x)...
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Answered by Thomas M. • Maths tutor
3570 Views

Find the equation of the line tangential to the function f(x) = x^2+ 1/ (x+3) + 1/(x^4) at x =2

Differentiate the function to find the gradient at any point: df/dx = 2x - 1/(x+3)^2 - 4/(x^5)insert the value of 2 into f(x) and df/dx --> df/dx = 3.835, f(2) = 4.2625create the equation of the line by y...
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Answered by Elliot F. • Maths tutor
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What happens during the light-dependent reaction?

During the light dependent reaction, chlorophyll in the chloroplasts within a plant cell will absorb light energy, this will then excite electrons and an electron will be removed from the chlorophyll, once t...
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Answered by Deo V. • Biology tutor
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What are the two roots for the equation x^2 + 7x + 10 = 0

Start by looking for multiples of 10. You have the pairs 2 & 5 and 1 & 10. Both signs are positive in the original equation so it will either be positive 2 & 5 or positive 1 & 10. Clearly 2+5...
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Answered by Edward R. • Maths tutor
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How do you answer a GCSE history exam question on the ‘usefulness’ of sources?

This question wants you to use both provenance and your own knowledge to assess the contents of sources. When bringing in your own knowledge, try to be as specific as you would be in any other essay. If the ...
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Answered by Amy B. • History tutor
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