Find `dy/dx if y=x^88`

Answer

To find \( \frac{dy}{dx} \) when \( y = x^{88} \), we will use the power rule of differentiation. Here are the steps:

### Step 1: Identify the function
We have the function:
\[ y = x^{88} \]

### Step 2: Apply the power rule
The power rule states that if \( y = x^n \), then:
\[ \frac{dy}{dx} = n \cdot x^{n-1} \]
In our case, \( n = 88 \).

### Step 3: Differentiate the function
Using the power rule:
\[ \frac{dy}{dx} = 88 \cdot x^{88 - 1} \]
\[ \frac{dy}{dx} = 88 \cdot x^{87} \]

### Step 4: Write the final answer
Thus, the derivative of \( y = x^{88} \) is:
\[ \frac{dy}{dx} = 88x^{87} \]

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