Final answer:
To find the derivative of e^(6x-7x^2) with respect to x, we can use the chain rule.
Step-by-step explanation:
To find the derivative of e^(6x-7x^2) with respect to x, we can use the chain rule. Let's break it down step-by-step:
- Differentiate the e^(6x-7x^2) function with respect to the exponent using the chain rule: e^(6x-7x^2) becomes (6-14x)e^(6x-7x^2).
- Multiply the result by the derivative of the exponent, which is -7x: (6-14x)e^(6x-7x^2)(-7x).