Find derivative with respect to x.

Question

anonymous · Answer

attachment

amistre64 · Answer

$$\frac d{dx}f(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}$$
:)

anonymous · Answer

The question is in the attachment!

amistre64 · Answer

just pull the bottom up and you have a 3term product rule

anonymous · Answer

Yup....dont know the thre term product rule...Can ya give me??I know upto 2 product rule!!

anonymous · Answer

*three

amistre64 · Answer

$$y = a^2b^{-3}c^{-4}$$
$$y' = 2ab^{-3}c^{-4}-3a^2b^{-4}c^{-4}-4a^2b^{-3}c^{-5}$$

amistre64 · Answer

the product rule just makes "n" copies and runs a derivative on one term in each

anonymous · Answer

In terms of x and n(s)!!

amistre64 · Answer

i used abc as the functions ... since they are all linear to begin with they just pop out 1s so just follow the pattern

anonymous · Answer

k...any easier method???shorcut??

anonymous · Answer

It'll be laborius for competitive xams!!

amistre64 · Answer

$$f=g_1g_2g_3...g_n$$
$$f'=(g'_1g_2g_3...g_n)+(g_1g'_2g_3...g_n)+(g_1g_2g'_3...g_n)+...+(g_1g_2g_3...g'_n)$$
calculating things IS laborious :)  you can go with expanding the bottom and running the quotient

anonymous · Answer

Can substitution help here??

amistre64 · Answer

lol,  i substituted with abc ... so if youre not into that then no

anonymous · Answer

k....then dat will do,I guess....tnx

amistre64 · Answer

good luck ;)

anonymous · Answer

tnx agn!!Cheers!