if-f-x-3-x-find-f-2-1-

Question Number 123267 by mohammad17 last updated on 24/Nov/20

i f f (x) =∣ 3 - x ∣ f i n d {(f^{2})}^{^{'}} (1) ?

Commented by MJS_new last updated on 24/Nov/20

if you mean {({(f (x))}^{2})}^{'}

{(f (x))}^{2} = {(3 - x)}^{2} = x^{2} - 6 x + 9

{({(f (x))}^{2})}^{'} = 2 x - 6

then the answer is - 4

Answered by TANMAY PANACEA last updated on 24/Nov/20

f (x) = 3 - x w h e n (3 - x) > 0 3 > x

f (x) = - 3 + x w h e n x > 3

w h e n x < 3 (w h e n x = 1)

f (x) = 3 - x

\frac{d f}{d x} = - 1

\frac{d^{2} f}{{d x}^{2}} = 0

i t h i n k s o

Answered by mathmax by abdo last updated on 24/Nov/20

f (x) =∣ x - 3 ∣ \Rightarrow f^{2} (x) = {(x - 3)}^{2} = x^{2} - 6 x + 9 \Rightarrow

{(f^{2})}^{^{'}} (x) = 2 x - 6 \Rightarrow {(f^{2})}^{^{'}} (1) = - 4