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If x = 2at2 and y = 4at, find dy/dx
In this case, dx/dt = 4at and so dt/dx = 1/(4at)
Also dy/dt = 4a. Hence:
Finding the Second Derivative
Finding the second derivative is a little trickier.
We use the fact that:
To find the second derivative in the above example, therefore:
d2y = d(1/t)
= -1 × 1 .