Find the derivative of $\frac{-130w^{-3}q^5z^9}{5q^{-4}z^0w^3}$

Got another answer? Verify it here!

Learn how to solve definition of derivative problems step by step online.

$\frac{d}{dq}\left(\frac{-26q^{9}z^9}{w^{6}}\right)$

Learn how to solve definition of derivative problems step by step online. Find the derivative of (-130w^(-3)q^5z^9)/(5q^(-4)z^0w^3). Simplifying. 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 \left(w^{6}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 6 and n equals 2. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function.