CBSE Class 12 Math 2020 Outside Delhi Set 1 Solved Paper

Question : 14

Total: 36

The slope of the tangent to the curve y=x3−x at the point (2,6) is____________
OR
The rate of change of the area of a circle with respect to its radius r, when r=3‌cm, is________

Solution: 👈: Video Solution

y=x3−x
‌

=3x2−1
‌ slope of tangent ‌=‌

=3x2−1
x=2
‌ Slope of tangent ‌‌=3(2)2−1
‌=12−1
‌=11

OR
6πcm2∕cm
Explanation: Area of circle, A=πr2
∴‌‌‌

‌=2πr
[‌

]r=3‌cm‌=2×π×3
‌=6πcm2∕cm

Go to Question:

Prev Question

Next Question