A small review over Calculus 1, 2, and 3, based on the textbook, Calculus: Early Transcendentals (Eight Edition). Differentiation Rules# --- Product Rule# If $f$ and $g$ are both differentiable, then $$\frac{d}{dx}[f(x)g(x)]=f(x)g^\prime(x)+g(x)f^\prime(x)$$ Quotient Rule# If $f$ and $g$ are differentiable, then $$\frac{d}{dx}\bigg[\frac{f(x)}{g(x)}\bigg]=\frac{g(x)f^\prime(x)-f(x)g^\prime(x)}{[g(x)]^2}$$ Integration# --- The Substitution Rule# If an integral has both an $x$ value and the der...
