Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(3/(19x^2)+3/16) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. 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 power of a product is equal to the product of it's factors raised to the same power. The derivative of the constant function (3) is equal to zero.

Find the derivative d/dx(3/(19x^2)+3/16) using the sum rule