For ex, I’m trying to intuitively understand why the derivative of secx = secxtanx as opposed to just memorizing it.
When it comes to the derivatives of trig functions, are we still looking at the slope of the tangent line of f(x)? Not sure if this question makes sense. Thanks!
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Not a five year old subject matter, but another way to investigate integrals and derivatives of trig functions is too express them as complex exponentials. This has many advantages since derivatives and integrals of exponential functions is particularly easy…
The wiki article on Euler’s Formula shows several useful formulas for this…
https://en.m.wikipedia.org/wiki/Euler%27s_formula
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