If f(t)=sec(t), find f′′(4π​). f′′(4π​)= [-12 Points] Suppose f(3π​)=4 and f′(3π​)=−5.Letg(x)=f(x)sin(x) and h(x)=f(x)co

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If f(t)=sec(t), find f′′(4π​). f′′(4π​)= [-12 Points] Suppose f(3π​)=4 and f′(3π​)=−5.Letg(x)=f(x)sin(x) and h(x)=f(x)cos(x)​. Find the following. (a) g′(3π​) (b) h′(3π​)
f(x)=4+xx2​
Suppose that f(4)=2,g(4)=3,f′(4)=−4, and g′(4)=5. Find h′(4). (a) h(x)=3f(x)+4g(x) h′(4)= (b) h(x)=f(x)g(x) h′(4)= (c) h(x)=g(x)f(x)​ h′(4)= (d) h(x)=f(x)+g(x)g(x)​
Let f(x)=exg(x), where g(0)=1 and g′(0)=3. Find f′(0).