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Applications Of Derivatives Mock Tests

38 questions available

Applications Of Derivatives Mock Test 1

Questions: 30

Applications Of Derivatives Mock Test 2

Questions: 8

नमूना प्रश्न

Class 12 Mathematics
The function f(x) = x³ − 6x² + 12x − 8 has a local minimum at x =:
A 1
B 2
C 3
D 4
CUET Mathematics
The function f(x) = x³ − 3x² + 3x − 1 is:
A strictly increasing on R
B strictly decreasing on R
C increasing on (0, infinity) and decreasing on (−infinity, 0)
D neither increasing nor decreasing
CUET Mathematics
The maximum value of f(x) = 2 − (x − 3)² is:
A 2
B 0
C 3
D 1
CUET Mathematics
The approximate change in y = x² when x changes from 2 to 2.01 is:
A 0.01
B 0.02
C 0.04
D 0.001
JEE Main Mathematics
The maximum value of f(x) = x³ − 3x² + 2 on the interval [0, 3] is:
A 2
B 0
C −2
D 54
Class 12 Mathematics
The equation of the tangent to the curve y = x² at the point (1, 1) is:
A y = 2x − 1
B y = x + 1
C y = 2x + 1
D y = x − 1
CUET Mathematics
If f(x) = x³ − 3x² + 3x − 1, then the maximum value of f(x) in the interval [0, 2] is:
A 1
B 7
C 3
D 5
Class 12 Mathematics
The function f(x) = e⁻ˣ is:
A strictly increasing on ℝ
B strictly decreasing on ℝ
C neither increasing nor decreasing on ℝ
D increasing on (0, ∞) and decreasing on (−∞, 0)

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