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List of top Mathematics Questions on Application of derivatives asked in CUET (UG)
The total cost C(x) in Rupees associated with the production of x units of an item is given by C(x) = \(0.007x^3 - 0.003x^2 + 15x + 400\). The marginal cost when 10 items are produced is:
CUET (UG) - 2025
CUET (UG)
Mathematics
Application of derivatives
The rate of change of area of a circle with respect to its circumference when radius is 4cm, is
CUET (UG) - 2025
CUET (UG)
Mathematics
Application of derivatives
The function f(x) = tanx - x
CUET (UG) - 2025
CUET (UG)
Mathematics
Application of derivatives
Match List-I with List-II
List-I
List-II
(A) The minimum value of \( f(x) = (2x - 1)^2 + 3 \)
(I) 4
(B) The maximum value of \( f(x) = -|x + 1| + 4 \)
(II) 10
(C) The minimum value of \( f(x) = \sin(2x) + 6 \)
(III) 3
(D) The maximum value of \( f(x) = -(x - 1)^2 + 10 \)
(IV) 5
Choose the correct answer from the options given below:
CUET (UG) - 2025
CUET (UG)
Mathematics
Application of derivatives
The interval, on which the function f(x) = x2e-x is increasing, is equal to
CUET (UG) - 2025
CUET (UG)
Mathematics
Application of derivatives
The slope of the normal to the curve y = \(2x^2\) at x = 1 is:
CUET (UG) - 2025
CUET (UG)
Mathematics
Application of derivatives
The slope of the normal to the curve y = \(2x^2\) at x = 1 is:
CUET (UG) - 2025
CUET (UG)
Mathematics
Application of derivatives
If the maximum value of the function f(x) = $\frac{\log_e x}{x}$, x > 0 occurs at x = a, then a2f''(a) is equal to
CUET (UG) - 2025
CUET (UG)
Mathematics
Application of derivatives
The total cost C(x) in Rupees associated with the production of x units of an item is given by C(x) = \(0.007x^3 - 0.003x^2 + 15x + 400\). The marginal cost when 10 items are produced is:
CUET (UG) - 2025
CUET (UG)
Mathematics
Application of derivatives
If the maximum value of the function f(x) = $\frac{\log_e x}{x}$, x > 0 occurs at x = a, then a2f''(a) is equal to
CUET (UG) - 2025
CUET (UG)
Mathematics
Application of derivatives
The function f(x) = tanx - x
CUET (UG) - 2025
CUET (UG)
Mathematics
Application of derivatives
Match List-I with List-II
List-I
List-II
(A) The minimum value of \( f(x) = (2x - 1)^2 + 3 \)
(I) 4
(B) The maximum value of \( f(x) = -|x + 1| + 4 \)
(II) 10
(C) The minimum value of \( f(x) = \sin(2x) + 6 \)
(III) 3
(D) The maximum value of \( f(x) = -(x - 1)^2 + 10 \)
(IV) 5
Choose the correct answer from the options given below:
CUET (UG) - 2025
CUET (UG)
Mathematics
Application of derivatives
The interval, on which the function f(x) = x2e-x is increasing, is equal to
CUET (UG) - 2025
CUET (UG)
Mathematics
Application of derivatives
The rate of change of area of a circle with respect to its circumference when radius is 4cm, is
CUET (UG) - 2025
CUET (UG)
Mathematics
Application of derivatives