This was the day after 17th birthday and fair to say I am feeling a little old.
We simply learned about finding the derivative of functions and the transformations of a single function with the function being the square root function for the first problem and it enduring changes such as a shift downwards,upwards and even a stretch of the function.We saw how related the slope of the tangent line was when we shifted it down or up and I came to a conclusion that it may apply to all functions which are differentiable because shifting it up and down will similar to doing that to the slope which in turn will match that pattern.
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