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Let F(x)=f(x) g(x) h(x) for all real x, ...

Let `F(x)=f(x) g(x) h(x)` for all real x, where f(x), g(x), and h(x) are differentiable functions. At some point `x_(0),F'(x_(0))=21F(x_(0)),f'(x_(0))=4f(x_(0)),g'(x_(0))=-7g(x_(0)), and h'(x_(0))=kh(x_(0)).` Then k = -

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