question archive A table of values for f, g, f ', and g' is given
A table of values for f, g, f ', and g' is given
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A table of values for f, g, f ', and g' is given. 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). h'(3) =(b) If H(x) = g(f(x)), find H'(1).H'(1) =
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a) h(x)=f(g(x)
h'(x)=(f'(g(x))*(g'(x)) ... Chain Rule
h'(3)=(f'(2)*9=45
b) H(x)= g(f(x))
H'(x) = g'(f(x)) * f'(x) .... Chain Rule
H'(1) = g'(3) * 4 = 9*4 = 36
