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Find dy/dx for y = x^3*e^x*cos(x)

In this problem, we see that y is a product of 3 functions of x. That means that in order to find dy/dx we need to use the product rule. The product rule tells us that in this case we should differentiate on...
LN
Answered by Lyudmil N. • Maths tutor
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Solve x² ≥ | 5x - 6 | (Question from AQA Core 3 June 2016)

To solve this question we can break it down in to a multiple small stages. The first thing to tackle is the use of modulus around 5x - 6. This effectively means we have two equations to solve: EQ1: x² ≥ 5x -...
JH
Answered by James H. • Maths tutor
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(i) What property does Magnesium Oxide have that makes it useful to create heat-resistant bricks to line furnaces? (ii) Explain why H2S exists as a gas and H2O exists as a liquid (at r.t.p).

(i) Magnesium oxide is an ionic compound meaning the elements reside in a lattice held together by very strong electrostatic forces of attraction between their oppositely charged ions. Since bonds are broken...
SN
Answered by Shahaab N. • Chemistry tutor
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Why is globalisation a contentious term?

The notion of globalisation, or increasing interconnectivity, is, broadly speaking, the idea that the international order has become more interdependent in a range of areas pertaining to economic, social, an...
RA
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Use chain rule and implicit differentiation to find dy/dx for y^3 = 1 + 3*x^2, then show that they are equal

When using the Chain Rule, it is best to put our equal in a form where there are no operations performed on the subject. i.e. y = (1 + 3*x 2 ) 1/3 Then to help make it clear what we need to do, state the rul...
JP
Answered by Joshua P. • Maths tutor
9730 Views