Find the derivative of the function. y=3e^{8t}+3

Albarellak

Albarellak

Answered question

2021-05-08

Find the derivative of the function.
y=3e8t+3

Answer & Explanation

Mitchel Aguirre

Mitchel Aguirre

Skilled2021-05-09Added 94 answers

Step 1
Given function.
y=3e8t+3
Taking the first derivative.
y=dydt
=ddt(3e8t+3)
Step 2
The derivative of the sum of two functions is equal to the sum of their derivatives. Therefore.
y=ddt(3e8t)+ddt(3)
Take the constant out of the derivative from the first term,
y=3ddt(e8t)+ddt(3)
Step 3
Find the derivative for the terms in the bracket,
y=3×8e8t
=24e8t
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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