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anonymous
 5 years ago
Find the first derivative of f(θ)=(θ+1)cosθ
anonymous
 5 years ago
Find the first derivative of f(θ)=(θ+1)cosθ

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0replace that theta thing with a normal looking variable for starters :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0(x+1)cos(x) distribute the cos thru x cos(x) + cos(x) now derive both of them seperately

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0Dx(x cosx) + Dx(cosx)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the first term is a product, so use the product rule on it...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x Dx(cosx) + Dx(x) cosx + Dx(cosx)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x sin(x) + cos(x)  sin(x)

nowhereman
 5 years ago
Best ResponseYou've already chosen the best response.0That looks rather complicated. I would do it like this: \[Df = \cos θ D(θ+1) + (θ+1)D\cos θ = \cos θ  (θ+1)\sin θ\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0could both answers be used as the correct answer?

nowhereman
 5 years ago
Best ResponseYou've already chosen the best response.0Yes, and they yield the same result after all.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0Both answers are exactly the same :) I just didnt factor mine out.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh well thank you so much :)
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