How do I calculate the derivative of a function?
An example of an AI chatbot conversation about calculating derivatives of functions.
How do I calculate the derivative of a function?
To calculate the derivative, you can use rules like the power rule, product rule, or quotient rule. What function do you need help with?
I need to find the derivative of f(x) = 3x^2 + 2x - 5.
The derivative f'(x) = 6x + 2. Would you like to see how I derived that?
Yes, please explain the steps.
Sure! First, apply the power rule: for ax^n, the derivative is nax^(n-1). So for 3x^2, it's 23x^(2-1) = 6x. For 2x, it's just 2. The constant -5 has a derivative of 0.
Got it! Can you help me with another function?
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