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How do I find the maximum/minimum of a curve?

To find the maximum/minimum of a curve you must first differentiate the function and then equate it to zero. This gives you one coordinate. To find the other you must resubstitute the one already found into ...
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Answered by Kishen L. • Maths tutor
136591 Views

How to differentiate y=(x^2+4x)^5

To differentiate y=(x 2 +4x) 5 you need to use the chain rule. The chain rule uses the fact that dy/dx = dy/dt * dt/dx. Here we create a new variable t, where t = x 2 +4x. Substituting this in the original e...
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Answered by Alexandra M. • Maths tutor
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Differentiate 3x^(3/4)

3(3/4)x^(-1/4) which simplifies to (9/4)x^(-1/4)
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Answered by Matthew J. • Maths tutor
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Frank, Mary and Seth shared some sweets in the ratio 4:5:7. Seth got 18 more sweets than Frank. Work out the total number of sweets they shared.

The ratio 4:5:7 is a way of comparing the size of the shares received by Frank, Mary and Seth. It helps to pretend that we are sharing the sweets between some equally-sized boxes: each box has the same numbe...
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Answered by Richard N. • Maths tutor
30958 Views

Solve the simultaneous equations “x^2+y^2=4” and “x=2-y”. What does this tell us about the circle centred on the origin, with radius 2, and the straight line with y-intercept 2 and gradient -1?

In order to solve the pair of simultaneous equations, we must find a single set of values for x and y which fulfils both at once. By substituting “x=2-y” into “x 2 +y 2 =4”, we obtain a single equation conta...
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Answered by Aaron D. • Maths tutor
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