Exercise
$\frac{d}{dx}\frac{-5}{7x-2}$
Step-by-step Solution
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(-5/(7x-2)). 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 (-5) is equal to zero. x+0=x, where x is any expression. The derivative of a sum of two or more functions is the sum of the derivatives of each function.
Find the derivative d/dx(-5/(7x-2))
Final answer to the exercise
$\frac{35}{\left(7x-2\right)^2}$