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The stationary points on a curve are the exact point of a maximum, minimum or point of inflection. They can be defined as points where the gradient, dy/dx = 0. You can show this by drawing a tangent to th...

2t^-2

For this we have to use trignometric identities, e.g Tan(x)= sin(x)/cos(x), sin²(x) + cos²(x) = 1, 1/sin(x) = cosec(x)
ta...

The general line equation in the Cartesian plane is given by ax+by=c, where a, b, and c are given constants. This means that all (x_0, y_0) points that are situated on the line s...

1. y = arsinhx We can rearrange this to be 2) sinhy = x, which makes this challenge slightly easier as we know that the derivative of sinhx is coshx and vice versa.Knowing the above we get coshy(dy/dx)...