Find $\frac{d s}{d t}$
$s = 2 \cot t - e^{- t}$

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Final Answer: $- 2 \csc^{2} t + e^{- t}$

Steps

Step 1 ：Given the function $s = 2 \cot t - e^{- t}$ .

Step 2 ：We are asked to find the derivative of this function with respect to $t$ .

Step 3 ：Using the rules of differentiation, the derivative of $\cot t$ is $- \csc^{2} t$ and the derivative of $e^{- t}$ is $- e^{- t}$ .

Step 4 ：Applying these rules to our function, we find that the derivative of $s = 2 \cot t - e^{- t}$ with respect to $t$ is $- 2 \csc^{2} t + e^{- t}$ .

Step 5 ：Final Answer: $- 2 \csc^{2} t + e^{- t}$

Find dsdts=2cot⁡t−e−t

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Find $\frac{d s}{d t}$
$s = 2 \cot t - e^{- t}$