A table of values for f, g, f ‘, and g’ is given.?

Posted by

ForNoob Team

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x f(x) g(x) f ‘(x) g'(x)

1 3 2 4 6

2 1 8 5 7

3 7 2 7 9

(a) If h(x) = f(g(x)), find h'(3).

(b) If H(x) = g(f(x)), find H'(1).

  • Fornoob Team’s answer

    (a) h'(x) = f'(g(x))*g'(x)

    .. h'(3) = f'(g(3))*g'(3) = f'(2)*9 = 5*9 = 45

    (b) h'(1) = g'(f(1))*f'(1) = g'(3)*4 = 9*4 = 36

  • John

    　

    h(x) = f(g(x))

    h'(x) = f'(g(x)) * g'(x)

    h'(3) = f'(g(3)) * g'(3) = f'(2) * 9 = 5*9 = 45

    H(x) = g(f(x))

    H'(x) = g'(f(x)) * f'(x)

    H'(1) = g'(f(1)) * f'(1) = g'(3) * 4 = 9*4 = 36

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