`y=x^(4)+3x^(2)+pi+2`. Find `(dy)/(dx)` :

Explanation

To find the derivative \(\frac{dy}{dx}\) of the function \(y = x^4 + 3x^2 + \pi + 2\), we can follow these steps:

### Step 1: Identify the function
We have the function:
\[ y = x^4 + 3x^2 + \pi + 2 \]

### Step 2: Differentiate each term
We will differentiate each term of the function separately.

1. **Differentiate \(x^4\)**:
Using the power rule \(\frac{d}{dx}(x^n) = nx^{n-1}\):
\[ \frac{d}{dx}(x^4) = 4x^{4-1} = 4x^3 \]

2. **Differentiate \(3x^2\)**:
Again using the power rule:
\[ \frac{d}{dx}(3x^2) = 3 \cdot \frac{d}{dx}(x^2) = 3 \cdot 2x^{2-1} = 6x \]

3. **Differentiate \(\pi\)**:
Since \(\pi\) is a constant:
\[ \frac{d}{dx}(\pi) = 0 \]

4. **Differentiate \(2\)**:
Similarly, since \(2\) is also a constant:
\[ \frac{d}{dx}(2) = 0 \]

### Step 3: Combine the derivatives
Now we can combine all the derivatives we calculated:
\[ \frac{dy}{dx} = 4x^3 + 6x + 0 + 0 \]
Thus, we simplify it to:
\[ \frac{dy}{dx} = 4x^3 + 6x \]

### Final Answer
The derivative of the function is:
\[ \frac{dy}{dx} = 4x^3 + 6x \]