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What is the derivative of sin(2x+5)?
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What is the derivative of sin(2x+5)?

User Robin Thoni
by
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1 Answer

5 votes

2cos(2x+5)

Explanation:


\sin(2x + 5)

Let y = sin(z) . Where z = 2x +5


y = \sin(z) \\ z = 2x + 5

Find the the derivatives


(dy)/(dx) = \cos(z)


(dz)/(dx) = 2

Multiply


(dy)/(dx) = \cos(z) * 2 \\ = 2 \cos(z)

Remember that z = 2x+5


2 \cos(2x + 5)

User Arun Ramachandran
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