Class XII / Mathematics
Smart Skills Sanskriti School
Practice Assignment-I
Very Short Answer Type Questions
1. At the point( )
2,1 , find the slope of the curve 6 6 64
x y = .
2. Find the derivative of 1 3
sin x
− .
3. Evaluate
1...
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Class XII / Mathematics
Smart Skills Sanskriti School
Practice Assignment-I
Very Short Answer Type Questions
1. At the point( )
2,1 , find the slope of the curve 6 6 64
x y = .
2. Find the derivative of 1 3
sin x
− .
3. Evaluate
1
1
cos
2
− − .
4. If “c” is a number that satisfies the conclusions of the Mean Value theorem for 3 2
2
x x
−
on the interval 0,2
, find the value of “c”.
5. If 3
( ) 9 ; ( ) 1
f x x g x x
= − = + , find ( )
f g x .
6. If ( )
( ) 1 x
f x x e
= + , find the intervals in which the function is increasing..
7. Write the equation of the tangent to the curve 3 3 2
x x
− + at the point( )
2,4 .
8. Find the stationary points of the function ( ) ( )
2
( ) 2 2 1
3
f x x x
= − +
9. Find the maximum value of the function ( ) sin2
f x x
= on the interval 0,
2
π
.
10. If 4
( )
f x x
= , defined from R R
→ , is this function one – one ?
11. If given that 2
( ) 16 8 14
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