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  • 29-12-2018
  • Mathematics
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use the following table to find the value of h'(3) if h(x)=g[f(x)]

use the following table to find the value of h3 if hxgfx class=

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AnTiMaTteR23
AnTiMaTteR23 AnTiMaTteR23
  • 30-12-2018
Since

h(x) = g(f(x)), h'(x) = g'(f(x))×f'(x) (Chain rule).

Setting x=3 we get

h'(3) = g'(f(3))×f'(3)

Plugging in values we get

h'(3) = g'(4)×7

h'(3) = 2×7

h'(3) = 14
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