How to find the derivative of this?

2015-10-11 4:42 am
#40 and #42 using the table, Thanks



Heres a link to the question

https://gyazo.com/55e538718a4a7a4bb3511cccbccf2c3c


Thanks so much to whoever can answer this

回答 (1)

2015-10-12 11:24 am
✔ 最佳答案
40.
F ' = 2x * f + x^2 * f '

F ' (4)
= 2*4 * f(4) + 4^2 * f ' (4)
= 8*10 + 16(-2)
= 80 - 32
= 48 ..... Ans

42.
H '
= [ g*f - x*( g * f )' ] / ( g^2 * f^2 )
= [ g*f - x*( g ' * f + g * f ' ) ] / ( g^2 * f^2 )

H ' (4)
= { 5*10 - 4*[ (-1)*10 + 5*(-2) ] } / ( 5^2 * 10^2 )
= [ 50 - 4*(-20) ] / 2500
= 130 / 2500
= 13/250 ..... Ans


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