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3(x-2) - 2(x-2)

First expand each set of brackets: (3x - 6) - (2x - 4) Then simplify: 3x - 6 - 2x - (-4) = x - 2
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Answered by Beenita S. • Maths tutor
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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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