Let `F(x)=f(x)g(x)h(x)` for all real `x ,w h e r ef(x),g(x),a n dh(x)` are differentiable functions. At some point `x_0,F^(prime)(x_0)=21 F(x_0),f^(prime)(x_0)4f(x_0),g^(prime)(x_0)=-7g(x_0),` then the value of `g^(prime)(1)` is ________

Let F(x)=f(x)g(x)h(x) for all real x ,w h e r ef(x),g(x),a n dh(x) are differentiable functions. At some point x_0,F^(prime)(x_0)=21 F(x_0),f^(prime)(x_0)=4f(x_0),g^(prime)(x_0)=-7g(x_0), and h^(prime)(x_0)=kh(x_0) . Then k is________

Let F(x)=f(x)g(x)h(x) for all real x ,w h e r ef(x),g(x),a n dh(x) are differentiable functions. At some point x_0,F^(prime)(x_0)=21 F(x_0),f^(prime)(x_0)=4f(x_0),g^(prime)(x_0)=-7g(x_0), and h^(prime)(x_0)=kh(x_0) . Then k is________

Let F(x)=f(x)g(x)h(x) for all real x ,w h e r ef(x),g(x),a n dh(x) are differentiable functions. At some point x_0,F^(prime)(x_0)=21 F(x_0),f^(prime)(x_0)=4f(x_0),g^(prime)(x_0)=-7g(x_0), and h^(prime)(x_0)=kh(x_0), then the value of k is

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^(prime)(x_0)=21 F(x_0),f^(prime)(x_0)=4f(x_0),g^(prime)(x_0)=-7g(x_0), and h^(prime)(x_0)=kh(x_0) . Then k is________

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

Let F(x) = f(x).g(x).h(x) x in R , where f(x) , g(x) & h(x) are differentiable function. At some point x_0, F'(x_0) = 21 F(x_0) , f'(x_0) = 4f(x_0),g'(x_0) = -7g(x_0), h'(x_0)= k.h(x_0) then k/4 =

Let f(x) be differentiable for real x such that f^(prime)(x)>0on(-oo,-4), f^(prime)(x) 0on(6,oo), If g(x)=f(10-2x), then the value of g^(prime)(2) is a. 1 b. 2 c. 0 d. 4

Let f(x) be differentiable for real x such that f^(prime)(x)>0on(-oo,-4), f^(prime)(x) 0on(6,oo), If g(x)=f(10-2x), then the value of g^(prime)(2) is a. 1 b. 2 c. 0 d. 4