11-06-2021
Mathematics

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Find d^2y/dtheta^2 if y=sin^5

Find d2ydtheta2 if ysin5 class=

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11-06-2021

Answer:

20 sin³O. cos²O - 5sin⁵O

Step-by-step explanation:

y = sin⁵O

Using the Chain Rule

dy/dO = 5 sin⁴O cosO

Using the Product / Chain rules:

d²y/dO² = 20 sin³O.cosO . cos O+ 5 sin⁴O * - sin O

= 20 sin³O. cos²O - 5sin⁵O

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