If-h-x-f-2-x-g-2-x-f-x-g-x-and-g-x-f-x-then-h-x-a-0-b-1-c-4-f-x-g-x-d-

Question Number 123706 by I want to learn more last updated on 27/Nov/20

If h (x) = f^{2} (x) - g^{2} (x), f^{'} (x) = - g (x) and g^{'} (x) = f (x)

then h^{'} (x) = ? ? ?

(a) 0 (b) 1 (c) - 4 f (x) g (x) (d) {[- g (x)]}^{2} - {[f (x)]}^{2}

Answered by Bird last updated on 27/Nov/20

h^{^{'}} (x) = 2 f (x) f^{^{'}} (x) - 2 g (x) g^{^{'}} (x)

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