Differentiation from First Principles
Unlock all 20 questions & worked solutions
You're viewing a free preview. Create an account to access the complete question set, step-by-step solutions, and progress tracking.
All Questions
Access the full question set for every topic.
Worked Solutions
Step-by-step explanations for every answer.
Track Progress
Mark questions right or wrong and monitor your growth.
It's Free
No credit card required - sign up in under a minute.
Which of the following is the definition of \(f'(x)\) from first principles?
\(\displaystyle\lim_{h\to 0}\dfrac{f(x+h)-f(x)}{x}\)
\(\displaystyle\lim_{h\to 0}\dfrac{f(x+h)+f(x)}{h}\)
\(\displaystyle\lim_{h\to 0}\dfrac{f(x+h)-f(x)}{h}\)
\(\displaystyle\lim_{x\to 0}\dfrac{f(x+h)-f(x)}{h}\)
📚 Want More Questions?
There are 19 more questions available. Create your free account to access the complete question set with detailed solutions.