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The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dh}\left(\frac{4\left(-1+h\right)-\left(-1+h\right)^3}{h}\right)+\frac{d}{dh}\left(3\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of (4(-1+h)-(-1+h)^3)/h+3. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (3) is equal to zero. 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}}. Simplify the product -(4\left(-1+h\right)-\left(-1+h\right)^3).