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In order to solve this equation we need to rearrange it to have all of the variables on one side of the equals sign and the constants on the other. We do this by multiplying each term by the denominator o...

A easy way to solve simultaneous equations is to substitiute one equation into another and then equate to find one of the unknowns. Once this has been found its a simple matter of substituting it back int...

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 in...

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+...

3(3/4)x^(-1/4) which simplifies to (9/4)x^(-1/4)