y=(1)/(4)x^4-(1)/(2)x^2+x+1 (dy)/(dx)=x^3-x+1

Name: Y=(1)/(4)x^4-(1)/(2)x^2+x+1 (dy)/(dx)=x^3-x+1
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Question

Answer 1

To find the derivative function

, we will differentiate each term with respect to

.Given:

We will differentiate each term separately:1. The derivative of

:

2. The derivative of

:

3. The derivative of

:

4. The derivative of the constant term

:

Now, we combine these results:

So, the derivative of the function

is:

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