Find (dy)/(dx) given y=a^x+b^x . where a and b are constants.

Name: Find (dy)/(dx) Given Y=a^x+b^x . Where a and B Are Constants.
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Question

Answer 1

To find

for

, where

and

are constants, we need to differentiate

with respect to

.Given:

We will use the chain rule for differentiation. The chain rule states that if

and

, then

.First, let's differentiate each term separately.1. Differentiate

with respect to

:

2. Differentiate

with respect to

:

Now, combine these results:

Therefore, the derivative of

with respect to

is:

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