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Basic Derivatives


Definition

The basic derivatives correspond to the simplest rules of derivation, such as the derivative of a constant, the derivative of a power, derivative of a sum, derivative of the product, among others.


Problems Solved

Find the derivative $\frac{d}{dx}\left(3x^2-5x+1\right)$
Find the derivative $\frac{d}{dx}\left(e\right)$
Find the derivative $\frac{d}{dx}=\frac{x^3+1}{x}$
Find the derivative $\frac{d}{dx}\left(\cos\left(3y\right)\right)$
Find the derivative $\frac{d}{dx}\left(\frac{1}{\sin\left(3x+5\right)^2}\right)$
Find the derivative $\frac{d}{dx}\left(x^3-3x^2y+2x y^2\right)$
Find the derivative $\frac{d}{dx}\left(\frac{x+1}{x^2+1}\right)$

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