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The derivative of the linear function is equal to $1$
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$1=\frac{d}{dx}\left(y\right)+\frac{d}{dx}\left(\frac{1}{y}\right)$
Learn how to solve differential calculus problems step by step online. Find the implicit derivative of d/dx(x)=d/dx(y)+d/dx(1/y). The derivative of the linear function is equal to 1. The derivative of the linear function is equal to 1. Apply the quotient rule for differentiation, which states that if f(x) and g(x) are functions and h(x) is the function defined by {\displaystyle h(x) = \frac{f(x)}{g(x)}}, where {g(x) \neq 0}, then {\displaystyle h'(x) = \frac{f'(x) \cdot g(x) - g'(x) \cdot f(x)}{g(x)^2}}. The derivative of the constant function (1) is equal to zero.