I need help with calculus?

2015-11-04 2:06 am
Use the table to answer the following questions: 
X=3 , fx=5 f'x=4 f''x=-3 gx=2 g'x=7 g"x=-2 
X=5 , fx=8 f'x=6 f"x=10 gx=-6 g'x=-4 g"x=11 

If h(x)=(f(x))^2, then h'(3)= ? 
If h(x)=f(x)/g(x), then h'(3)= ? 
If h(x)=f(x) × g(x), then h'(3)= ? 

Can someone please explain to me the answers, thank you!

回答 (1)

2015-11-04 4:22 am
✔ 最佳答案
(1)
h = f ^ 2
h' = 2 * f * f '
h'(3) = 2 * f(3) * f ' (3) = 2*5*4 = 40 ..... Ans

(2)
h = f / g
h' = ( f ' g - f g' ) / g^2 = ( 4*2 - 5*7 ) / 2^2 = - 27/4 ..... Ans

(3)
h = f g
h' = f ' g + f g' = 4*2 + 5*7 = 43 ..... Ans


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