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What is the product rule and when do you use it?

The product rule is used when finding the derivative of the product of two functions - two functions multipled together. If y = f(x)g(x), then dy/dx = f'(x)g(x) + f(x)g'(x) Where f'(x) is the derivative of f...
TJ
Answered by Tom J. • Maths tutor
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How do I solve the quadratic equation x^2+4x+3=0

When solving a quadratic equation like this it is useful to write it in the form (x+a)(x+b)=0, as this is simply saying 'two numbers multiplied together equal zero'. A general rule in maths is that whenever ...
ER
Answered by Edward R. • Maths tutor
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How do you integrate the function cos^2(x)

At first, you might think that it is possible to perform this integral simply by inspection, using the 'backwards chain rule'. This method would consist of adding one to the power, to get cos 3 (x), then div...
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Answered by Edward R. • Maths tutor
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For a cuboid, the longest side is two units more than the shortest side, and the middle length side is one unit longer than the shortest side. The total surface area of the cuboid is 52 units². (a) Construct an equation to calculate the surface area.

First label all the sides with letters:longest side = amiddle length side = bshortest side = cNow convert the question into equation form: "the longest side is two units more than the shortest side&quot...
EH
Answered by Eden H. • Maths tutor
9565 Views

What is the natural logarithm?

The standard rule for integration is: integrate kx^n dx = kx^(n+1)/(n+1). However, if we try and integrate 1/x in this manner we get, x^0/0, i.e. 1/0, which is infinity. However, if we look at a graph of 1/x...
EH
Answered by Eden H. • Maths tutor
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