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Yea I can see if it works if it’s okay

Yea I can see if it works if it’s okay-example-1

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SOLUTION

We want to find the derivative of


y=sin(1.2t-3.7)

(a) So, using chain rule, the inside function is u,

we have the inside:


u=1.2t-3.7

outside becomes


y=sin(u)

(b) The derivative of

inside, we have


(du)/(dt)=1.2

derivative of the outside, we have


(dy)/(du)=cos(u)

chain rule we have


\begin{gathered} (dy)/(dt)=(dy)/(du)*(du)/(dt) \\ =cos(u)*1.2 \\ =cos(1.2t-3.7)*1.2 \end{gathered}

Hence the answer is


(dy)/(dt)=1.2cos(1.2t-3.7)

User Will Hawker
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