Mark M. answered 11/09/23
Retired math prof. Calc 1, 2 and AP Calculus tutoring experience.
h(x) = f(g(x))
By the Chain Rule, h'(x) = f'(g(x)) g'(x)
So, h'(1) = f'(g(1))g'(1) = f'(2)(-3) = (2π)(-3) = -6π
h'(2) can be found in a similar manner.
Terra R.
asked 11/09/23suppose the function f and g and their derivitives have the following values at x=1 and x=2 Let h(x)=f(g(x)) Evaluate h'(x)
x f(x) g(x) f'(x) g'(x)
1 8 2 1/3 -3
2 3 -4 2pi 5
Mark M. answered 11/09/23
Retired math prof. Calc 1, 2 and AP Calculus tutoring experience.
h(x) = f(g(x))
By the Chain Rule, h'(x) = f'(g(x)) g'(x)
So, h'(1) = f'(g(1))g'(1) = f'(2)(-3) = (2π)(-3) = -6π
h'(2) can be found in a similar manner.
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