Find out the answer to "Find the derivative of the following functions P=401+2−t" - Plainmath

Khaleesi Herbert

Answered question

2021-10-21

Find the derivative of the following functions

P = \frac{40}{1 + 2^{- t}}

Answer & Explanation

ensojadasH

Skilled2021-10-22Added 100 answers

Step 1
Here given as

P = \frac{40}{1 + 2^{- t}}

or

P = 40 {(1 + 2^{- t})}^{- 1}

Step 2
Differentiate with respect to t as

\frac{d p}{d t} = \frac{d}{d t} {(40 (1 + 2^{- t}))}^{- 1}

= (\frac{- 40}{{(1 + 2^{- t})}^{2}}) \frac{d}{d t} (1 + 2^{- t})

= (\frac{- 40}{{(1 + 2^{- t})}^{2}}) (- 2^{- t} \ln 2)

= \frac{40 (2^{- t} \ln 2)}{{(1 + 2^{- t})}^{2}}

Jeffrey Jordon

Expert2022-03-24Added 2605 answers

Answer is given below (on video)

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