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v.s
 3 years ago
Differentiate with respect to t.
y = b cos t + t2 sin t
v.s
 3 years ago
Differentiate with respect to t. y = b cos t + t2 sin t

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Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0( cost)' ? (sint)' ?

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0> b ( cos t ) ' =  bsint Okie, so far?

Shriya
 3 years ago
Best ResponseYou've already chosen the best response.1y=bcost+t2sint differentiating w.r.t t, dy/dt= bsint+ d/dt(2tsint) now, we have to differentiate 2tsint using product rule for derivative. so, the derivative of 2tsint becomes (2tcost+2tsint) therefore, dy/dt= bsint+2tsint+2tcost taking sint common, dy/dx=sint(2b)+2tcost

v.s
 3 years ago
Best ResponseYou've already chosen the best response.0but i understand what you did

Shriya
 3 years ago
Best ResponseYou've already chosen the best response.1datz ok! :) not a big deal. derivatives is realy easy as compared to the other sections of calculus. u jus need 2 know the ways to differentiate! :)

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0Apply product rule here ( t²* sin t ) ' with : u = t² > u' = ... v = sint > v' = ....

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0@v.s Do you know product rule?

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0Yep, now put the 2 results together :) y' = ....

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0y = b cos t + t² sin t >y' = ...

v.s
 3 years ago
Best ResponseYou've already chosen the best response.0y"= bcost+2t*sint+cost*t^2

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0y = b cos t + t² sin t > b ( cos t ) ' =  bsint > ( t² sin t )' = 2t sint+ t² cost

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0What's my instruction above?

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0The product rule applied to take derivative of the second term!

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0y = b cos t + t² sin t > b ( cos t ) ' =  bsint ( derivative of the first term) > ( t² sin t )' = 2t sint+ t² cost ( derivative of the second term)

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0Yep, now put the 2 results together :) y = b cos t + t² sin t y' =  bsint + 2t sint+ t² cost

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0Now you can make it neat by simplifying  bsint + 2t sint together.
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