KARNATAKA-2nd-PUC-2023-Mathematics-Sample-Paper
KARNATAKA 2nd PUC 2023 Mathematics Sample Paper
Question 14
The slope of the normal to the curve y=2x2−3sinx at x=0 is
Solution
The correct answer is 13
Explanation
Given equation of curve y=2x2−3 sinx
The slope of tangent to the curve = m1 = dydx = 4x−3 cosx
At x=0, (dydx)x=0 = 4(0)−3 cos0 = −3
The slope of normal to the curve = m2 = −1m1 = −1−3 = 13
1b288afa-88c7-11ed-94f3-5405dbb1cb03