Key to "Second derivatives Find y″ for the following functions...." - Plainmath

ankarskogC

Answered question

2021-10-13

Second derivatives Find y″ for the following functions.

y = \frac{1}{2} e^{x} \cos x

Answer & Explanation

Adnaan Franks

Skilled2021-10-14Added 92 answers

Step 1
Given:

y = \frac{1}{2} e^{x} \cos (x)

Step 2

y = \frac{1}{2} e^{x} \cos (x)

Differentiate with respect to x:

\frac{d y}{d x} = \frac{d}{d x} [\frac{1}{2} e^{x} \cos (x)]

Apply product rule: (f·g)=f·g+g·f

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