What is the answer of the formula below:

If H (θ) = θ sin θ, find H' (θ) and H'' (θ).

Question

Lee Gilbert

Mathematics

30 November, 10:39

What is the answer of the formula below:

If H (θ) = θ sin θ, find H' (θ) and H'' (θ).

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Answers (1)

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Brownie · Answer 1

H (Ф) = Ф sinФ

H' (Ф) = (Ф sin Ф) = Ф' sin Ф + Ф (sin Ф) ' = sin Ф + Ф cos Ф

H '' (Ф) = (sin Ф + Ф cos Ф) ' = (sin Ф) ' + Ф (cos Ф) ' + Ф' cos Ф = cos Ф - Ф sin Ф + cos Ф = 2 cos Ф - Ф sin Ф

What is the answer of the formula below:If H (θ) = θ sin θ, find H' (θ) and H'' (θ).

What is the answer of the formula below:

If H (θ) = θ sin θ, find H' (θ) and H'' (θ).