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Express (x+1)/2x + (2x+3)/(x+1) as one term

(x+1) 2 + 2x(2x+3) / 2x(x+1)
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Answered by Alex R. • Maths tutor
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A uniform ladder of mass 5 kg sits upon a smooth wall and atop a rough floor. The floor and wall are perpendicular. Draw a free body diagram for the ladder (you do not need to calculate any forces).

Diagram should include two orthogonal lines, representing the wall and floor. Connecting them should be a diaganol line (the ladder) At the midpoint of the line should be a vertical downward arrow whose head...
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Answered by Dean G. • Maths tutor
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How do you integrate ?

In order to integrate an algebraic term, such as 8x 3 + 4, one must first take the power of the first term and increase this by 1, getting 8x 4 . Secondly , divide the coefficient on x by the new power, in t...
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Answered by Louie H. • Maths tutor
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Explain the chain rule of differentiation

The chain rule can be used to find more complex derivatives.For example, in the case of: y = (5x + 2) 5 To find the derivative in the ordinary fashion, one would need to expand the brackets to:y=3125x 5 +625...
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Answered by Toby H. • Maths tutor
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How do I use the chain rule for differentiation?

Let’s say we’re given the equation y=(2x-6)^4we would know how to differentiate x^4, therefore we can take the substitution u=2x-6 to give us the equation y=u^4we then differentiate this equation (dy/du) to ...
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Answered by Natasha A. • Maths tutor
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