The equation of a curve is $$\(y=2 x^{2}-3\)$$. Two points $$\(A\)$$ and $$\(B\)$$ with $$\(x\)$$-coordinates 2 and $$\((2+h)\)$$ respectively lie on the curve. Explain how the gradient of the curve at the point $$\(A\)$$ can be deduced from the answer to part (a), and state the value of this gradient. ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ . DO NOT WRITE IN THIS MARGIN ........................................................................................................................................................ . ........................................................................................................................................................ . ........................................................................................................................................................ .
Exam No:9709_w24_qp_12 Year:2024 Question No:3(b)
Answer:

Knowledge points:
1.7.1 understand the gradient of a curve at a point as the limit of the gradients of a suitable sequence of chords, and use the notations for first and second derivatives (Only an informal understanding of the idea of a limit is expected.)
Solution:
Download APP for more features
1. Tons of answers.
2. Smarter Al tools enhance your learning journey.
IOS
Download
Download
Android
Download
Download
Google Play
Download
Download