Calculus Question

Question

Let F(4)=1,F′(4)=5,H(4)=4,H′(4)=5.

A. If G(z)=F(z)⋅H(z), then G′(4)= 

B. If G(w)=F(w)/H(w), then G′(4)= 

Answer 1

a) Use linearity of derivatives to see that G' = F' + H' where you can evaluate the RHS at z = 4

b) Use the quotient rule:

G' = (HF'-FH')/H² where you are given all the values that are needed in order to evaluate the right-hand-side.

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