Question

Differentiate the equation y=cos⁡πx X sin⁡πx

Answer 1

use product rule and chain rule.

Answer 2

show how

Answer 3

F = u * v
If F is a function which is a product of u and v.
then F' = uv'+u'v. (' indicates differentiation)

Answer 4

ok. show how the product rule v.u= u'v+uv'

Answer 5

is related to my question

Answer 6

You have two functions sin pi x , cos pi x. which are multiplied,.

Answer 7

woow thanks koushik

Answer 8

Be sure to apply chain rule while differentiating sin pi x and cos pi x. (after applying the product rule)

Answer 9

what are these boxes in your problem?

Answer 10

please will you show how its aplied

Answer 11

Caqn you draw out your problem? I cannot make out what it says.

Answer 12

y=cos⁡πx X sin⁡πx thats what i see :\

Answer 13

for example,\[\frac{ d }{ dx }(\sin u) = \cos u \times \frac{ d }{ dx }(u)\]

Answer 14

is it \[\large y = cos^2 (\pi x)\cdot sin^2 (\pi x)\]?

Answer 15

no jhannybean no remove ^2

Answer 16

did you get how to use chain rule now?

Answer 17

koushik show how cos pi x is diiferentiated

Answer 18

yeah am ok with that, the question is is there any distinct value given to pi

Answer 19

\[\frac{ d }{ dx}(\cos \pi x) = (-\sin \pi x) \times \frac{ d }{ dx }(\pi x)\]

Answer 20

yeah am done now tnx alot

Answer 21

you're welcome

Answer 22

keep in touch friend i see are more advance than me

Answer 23

sory wrong typing you are more advance thn me