Question
Find the derivative of the function f(x) = (2x^2 + 3x - 5) using the product rule
Answers
GPT-4o mini
It seems there's a bit of confusion in your request. The function \( f(x) = 2x^2 + 3x - 5 \) is a polynomial, and we typically use the power rule to find its derivative.
However, if you would like to practice using the product rule with functions, I can rewrite \( f(x) \) in a different form or provide an example where the product rule is necessary.
For now, let's find the derivative using the power rule:
1. The derivative of \( 2x^2 \) is \( 4x \).
2. The derivative of \( 3x \) is \( 3 \).
3. The derivative of \( -5 \) is \( 0 \).
Combining these, the derivative is:
\[
f'(x) = 4x + 3.
\]
If you want a specific example using the product rule, consider a function like \( f(x) = (x^2)(2x + 1) \). Would you like to proceed with that?
However, if you would like to practice using the product rule with functions, I can rewrite \( f(x) \) in a different form or provide an example where the product rule is necessary.
For now, let's find the derivative using the power rule:
1. The derivative of \( 2x^2 \) is \( 4x \).
2. The derivative of \( 3x \) is \( 3 \).
3. The derivative of \( -5 \) is \( 0 \).
Combining these, the derivative is:
\[
f'(x) = 4x + 3.
\]
If you want a specific example using the product rule, consider a function like \( f(x) = (x^2)(2x + 1) \). Would you like to proceed with that?