Get the solution to "Find the derivatives of the given functions. p(x)=10−3cos⁡[π6(x+3)]" - Plainmath

Josalynn

Answered question

2021-05-21

Find the derivatives of the given functions.

p (x) = 10 - 3 \cos [\frac{π}{6} (x + 3)]

Answer & Explanation

Mayme

Skilled2021-05-22Added 103 answers

p (x) = 10 - 3 \cos [\frac{π}{6} (x + 3)]

p (x) = 10 - 3 \cos [\frac{π}{6} x + \frac{π}{2}]

p^{'} (x) = \frac{d}{d x} (10) - \frac{d}{d x} (3 \cos [\frac{π}{6} x] + \frac{π}{2})

= 0 - 3 \frac{d}{d x} (\cos (\frac{π}{6} x + \frac{π}{2}))

= - 3 - \sin (\frac{π}{6} x + \frac{π}{2}) \dot{{} \frac{π}{6}

= 3 \dot{{} \frac{π}{6} \sin (\frac{π}{6} (x + 3))

= \frac{π}{2} \sin [\frac{π}{6} (x + 3)]

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