Simple but nice

Calculus Level 1

F(x)=f(x)g(x)h(x){F(x)} = {f(x)g(x)h(x)}

The above equation is true for all real xx, where f(x)f(x), g(x)g(x) and h(x)h(x) are differentiable functions at some point aa.

Given F(a)=21F(a),f(a)=4f(a),g(a)=7g(a),h(a)=kh(a)F '(a) = 21 F(a), f '(a) = 4f(a), g'(a) = -7g(a), h'(a) = kh(a) . Find kk.

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