1003230204

Which of the statements A, B, C given bellow are correct? $$\begin{array}{l}\text{A: }{(\frac{1}{x^3}\cdot \cos x)}^{\prime }=-\frac{\cos x+\sin x}{x^4},x\in \mathbb{R}\setminus \{0\}\\ \text{B: }((1-x^3)\cdot \ln x{)}^{\prime }=-3x^2\ln x+\frac{1}{x}-x^2,x\in {\mathbb{R}}^{+}\\ \text{C: }{(5^x\cdot \sqrt[5]{x})}^{\prime }=5^{x-1}\sqrt[5]{x}(5\ln 5+\frac{1}{x}),x\in \mathbb{R}\setminus \{0\}\end{array}$$ The only correct statements are: