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How do I find the equation of the tangent to y = e^(x^2) at the point x = 4?

This question can be broken up into two main parts, one you're probably familiar with from C1 + C2 and one which is newer. The first part relates to differentiating a compound function (where a function is d...
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Answered by Sam H. • Maths tutor
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differentiate with respect to 'x' : ln(x^2 + 3x + 5)

(2x + 3) / (x 2 + 3x + 5)
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Answered by Alec S. • Maths tutor
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How do I find the expression for the nth term in a series of numbers?

First write down the series of numbers e.g. 8, 12, 16, 20. Calculate the difference between each term in the series 12-8 = 4, 16-12 = 4, 20-16 = 4 This shows that the expression will begin with 4n as the dif...
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Answered by Megan B. • Maths tutor
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Differentiate with respect to x: y=(6x^2-1)/2sqrt(x)

1st Step: Must separate the fractions and simplify: y= (6x 2 -1)/2sqrt(x)= 6x 2 /(2x 1/2 ) - 1/(2x 1/2 ) Cancel 6 with 2 and x 2 with x 1/2 => y= 3x 3/2 - x -1/2 /2 2nd Step: Differentiate: dy/dx= (9/2)x ...
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Answered by Elena S. • Maths tutor
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How relevant is the reading I mention in my personal statement to my interview?

For History in both Oxford and Cambridge there is typically two interviews for applicants. The first will be based around your personal statement so it is very important that you are familiar with any readin...
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