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

To differentiate y=(x²+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 = x²+...

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)

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 nu...

Answered by Richard N. • Maths tutor

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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 “x²+y²=4”, we obtain a ...

Answered by Aaron D. • Maths tutor

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