Find the derivative of $y=\frac{-9}{\left(\sqrt{x-3}\right)^3}$

Got another answer? Verify it here!

Learn how to solve problems step by step online.

$\frac{d}{dx}\left(\frac{-9}{\sqrt{\left(x-3\right)^{3}}}\right)$

Learn how to solve problems step by step online. Find the derivative of y=-9/((x-3)^1/2^3). 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(\sqrt{\left(x-3\right)^{3}}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals \frac{3}{2} and n equals 2. The derivative of the constant function (-9) is equal to zero.