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# Calc 1: Practice Exam 2 Solutions Name: (1) Find ... - Westmont

Calc 1: Practice Exam 2 Solutions Name: (1) Find ... - Westmont

## Calc 1: Practice Exam 2 Solutions Name: (1) Find ... -

Calc 1: Practice Exam 2 SolutionsName:(1) Find derivatives of the following functions:(a)y = x5 + 2x + 13√ x cos(x)Answer:Use the quotient and product rules:y ′ =3√ xcos(x)(5x 4 + 2) − (x 5 + 2x + 1)( 1 3 x−2/3 cos(x) − x 1/3 sin(x))( 3√ x cos(x)) 2(b)y = e x3 tan(x 4 + 1)Answer:Use the product rule and the chain rule:y ′ = 3x 2 (e x3 ) tan(x 4 + 1) + e x3 sec 2 (x 4 + 1)(4x 3 )(c)y = cos(e x2 ) sin(e −x2 )Answer: Use the product rule and the chain rule:y ′ = − sin(e −x2 ) sin(e x2 )(e x2 )(2x) + cos(e x2 ) cos(e −x2 )(e −x2 )(−2x)(d)y = tan(√ x − 3√ (x))x 2 e 5x1

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