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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 i...

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Answered by Sam H. Maths tutor
9128 Views

differentiate with respect to 'x' : ln(x^2 + 3x + 5)

(2x + 3) / (x2 + 3x + 5)

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Answered by Alec S. Maths tutor
4772 Views

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 wit...

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Answered by Megan B. Maths tutor
18701 Views

Differentiate with respect to x: y=(6x^2-1)/2sqrt(x)

1st Step: Must separate the fractions and simplify:

y= (6x2-1)/2sqrt(x)= 6x2/(2x1/2) - 1/(2x1/2

Cancel 6 with 2 and x

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Answered by Elena S. Maths tutor
8639 Views

Factorise and solve x^2 - 8x + 15 = 0.

Whenever faced with a quadratic equation in the form of AX^2 + BX + C = 0, the first thing you do is factorise it, which will look something like this: (X )(X ) = 0.You can see from this that when you mul...

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Answered by Zarmala N. Maths tutor
3162 Views

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