Given = 3 + 7, = + 1, = 2 − 3, find f(2) + h(1) and f(0) + g(0) - h(0)
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1
Answer:
Step-by-step explanation:
y=fgh
⇒
dx
dy
=f
′
gh+fg
′
h+fgh
′
=
2
1
(2f
′
gh+2fg
′
h+2fgh
′
)
=
2
1
(h(f
′
g+g
′
f)+g(f
′
h+fh
′
)+f(g
′
h+gh
′
))
=
2
1
(h.(fg)
′
+g.(fh)
′
+f.(gh)
′
)
∴(fgh)
′
(0)=
2
1
(h(0)(fg)
′
(0)+g(0)(fh)
′
(0)+f(0)(gh)
′
(0))
=
2
1
(3×6+2×5+1×4)=
2
1
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