Step 1 :Rewrite the function as: \(T(x) = 60D(10+x)^{-1}\)
Step 2 :Apply the power rule to find the derivative of \((10+x)^{-1}\): \(\frac{d}{dx}[(10+x)^{-1}] = -(10+x)^{-2}\)
Step 3 :Apply the chain rule to find the derivative of \(T(x)\): \(T'(x) = 60D \cdot (-1) \cdot (10+x)^{-2} \cdot 1\)
Step 4 :Simplify the expression: \(T'(x) = -\frac{60D}{(10+x)^2}\)
Step 5 :The derivative of \(T(x)\) is: \(\boxed{T'(x) = -\frac{60D}{(10+x)^2}}\)