Year 12 Maths - Methods (Unit 3 & Unit 4)
Differentiation
Differentiating x^n where n is a negative integer
ACCOUNT REQUIRED
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.
Questions
Question 1
198759
Consider the function \(y=\dfrac{1}{x}\).
(i) State the value of \(n\) when \(\dfrac{1}{x}\) is written as \(x^{n}\).(ii) Hence find \(\dfrac{dy}{dx}\).
Part a:
-1
1 mark
Part b:
\(-\dfrac{1}{x^{2}}\)
Correct
\(\dfrac{1}{x^{2}}\)
\(-\dfrac{1}{x}\)
\(-\dfrac{1}{2x^{2}}\)
📚 Want More Questions?
There are 19 more questions available. Create your free account to access the complete question set with detailed solutions.