Free physics question bank
Applications of Differentiation questions with solutions
Practice Mathematical tools and vector for JEE Main, JEE Advanced, NEET, and Classes 11–12. Attempt each question, then open it for the full solution.
Showing 1–10 of 100 questions
- MCQmediumMathematical tools and vector
A rectangular field is fenced on three sides with total fence length L, the fourth side along a river. Maximum area is:
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The radius of a circle increases at 3 cm s⁻¹. Find the rate of increase of its area when r = 4 cm.
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A cylinder has constant height 10 cm and radius increasing at 0.2 cm s⁻¹. Find dV/dt when r = 5 cm.
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Find the slope of y = √x at x = 9.
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Velocity is v = 5e⁻ᵗ m s⁻¹. Find acceleration at t = 0.
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For y = √(x²+1), find the slope at x = 2.
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A rectangle has fixed perimeter P. Its area is maximum when:
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Match List I with List II and choose the correct option.
List 1
f=x²-8x+20
f=-x²+6x+2
f=x+9/x
f=x²+4/x²
List 2
minimum 4
minimum 6
maximum 11
minimum 4 at x²=2
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A curve has slope 1 at a point. The tangent angle with positive x-axis is:
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Find the slope of the normal to y=x² at x=2.
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