A few days ago
Can you help me with the Product Rule?
The question I’m stuck on is as follows:
f(x) = x^2(1 + 4e^x)
I don’t know where to start. Any ideas?
Top 1 Answers
A few days ago
Favorite Answer
I assume the (1 + 4e^x) is not in the exponent or you wouldn’t be asking about the product rule.
Remember the product rule. For f and g, both functions of x:
d/dx (fg) = f’g + fg’
In this case, f(x) = x^2 and g(x) = 1 + 4e^x
f’ = 2x, g’ = 4e^x
So:
derivative = f’g + fg’ = 2x(1 + 4e^x) + (x^2)(4e^x)
which you are free to simplify as you choose.
0
- Academic Writing
- Accounting
- Anthropology
- Article
- Blog
- Business
- Career
- Case Study
- Critical Thinking
- Culture
- Dissertation
- Education
- Education Questions
- Essay Tips
- Essay Writing
- Finance
- Free Essay Samples
- Free Essay Templates
- Free Essay Topics
- Health
- History
- Human Resources
- Law
- Literature
- Management
- Marketing
- Nursing
- other
- Politics
- Problem Solving
- Psychology
- Report
- Research Paper
- Review Writing
- Social Issues
- Speech Writing
- Term Paper
- Thesis Writing
- Writing Styles