Answered: "Find derivatives of the functions defined as follows:..." - Plainmath

tricotasu

Answered question

2021-10-04

Find derivatives of the functions defined as follows:

y = 4 - 5^{x + 2}

Answer & Explanation

Nathaniel Kramer

Skilled2021-10-05Added 78 answers

Step 1
Given:

y = 4 - 5^{x + 2}

Step 2

y = 4 - 5^{x + 2}

differentiate equation y with respect to x we get

\frac{d}{d x} (y) = \frac{d}{d x} (4 - 5^{x + 2})

\frac{d y}{d x} = \frac{d}{d x} (4) - \frac{d}{d x} (5^{x + 2})

= 0 - \ln 5 (5^{x + 2})

= - \ln 5 \cdot (5^{x + 2})

Jeffrey Jordon

Expert2022-11-14Added 2605 answers

Answer is given below (on video)

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