Hello fellow matimatician, How is it going? I have heard you have just finished Pre-Calc, and wanna start learning the hard stuff. If u r, then you are in the right place. You will notice I am using a lot of abbriviations, like: "u" instead of "you" or "r" instead of "are". One reason is that I am a fellow young mathimatician. Don't worry, Gauss and Euler were young mathimaticians too at some point. I'll try to explain limits and derivatives (and maybe not integrals) in the simplest way possible.
$$ \lim_{x \to a} f(x) , \frac{d}{dx} f(x) , \int f(x) $$
$$\lim_{x \to a}$$
$$ \lim_{x \to a} f(x) = M $$
$$\lim_{x \to a}$$
$$\frac{d}{dx} f(x)$$
$$\frac{d}{dx} x^n = ??$$
$$\frac{d}{dx} e^x = ??$$
$$\frac{d}{dx} \sin(x) = ?!$$
$$\frac{d}{dx} f(x)$$
$$\frac{d}{dx} f(g(x)) = ?!$$
$$\frac{d}{dx} x^2 + y^2 = 1 ?!$$
$$\frac{d}{dx} f(x)$$
$$\lim_{x \to 0} \frac{x^2}{x} = \frac{0}{0} ?!$$
$$a + b \epsilon $$
$$\int f(x)$$
$$\int u dv$$
Also the best resorces to learn calc from is Professor Leonard, he explains calc 1,2, and 3 in depth, so go check it out
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