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Find y' and y". Ja 11 y = √sin(x) cos(x) 2√ sin(x)

Find y' and y". Ja 11 y = √sin(x) cos(x) 2√ sin(x)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I need help finding the 2nd derivative of y. I believe I'm on the right track but I'm not sure how to continue.

Find y' and y". Ja 11 y = √sin(x) cos(x) 2√ sin(x)
Transcribed Image Text:Find y' and y". Ja 11 y = √sin(x) cos(x) 2√ sin(x)
cos(x) 2√sin(x) Y'= Y" = £x (2056) ) =,,^ Use quotient rule Quotient Rule: If 'g & g √² = 2√sin(x) £x (cos(2) – cos(4x) + (2√sin(x) (2√sin(x))² |"=2 {sin (x) + (-sin(x) - cost): 2 & (En ca]]"}}' (2√ Sin(x)) ² 1/ | ¹² = 2(sin(x) · (-sin(x)) - cos: 2 (Z [sin(x)] ¹2). (sin(x)) %% (2√sin(x) y"= 2√sin(x) · (-sin(x)) - cos(d.sin(x)¹½. cos(x) (2√sin(x) 2
Transcribed Image Text:cos(x) 2√sin(x) Y'= Y" = £x (2056) ) =,,^ Use quotient rule Quotient Rule: If 'g & g √² = 2√sin(x) £x (cos(2) – cos(4x) + (2√sin(x) (2√sin(x))² |"=2 {sin (x) + (-sin(x) - cost): 2 & (En ca]]"}}' (2√ Sin(x)) ² 1/ | ¹² = 2(sin(x) · (-sin(x)) - cos: 2 (Z [sin(x)] ¹2). (sin(x)) %% (2√sin(x) y"= 2√sin(x) · (-sin(x)) - cos(d.sin(x)¹½. cos(x) (2√sin(x) 2
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Could you explain the last two parts to me? How do you go from sin(x)3/2 to sin2(x)?

And where did square root of sin(x) go? Did you somehow move it to the denominator?

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