Free physics question bank
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 200 questions
- MCQmediumMathematical tools and vector
If y = 1/√(1 + √x), find dy/dx.
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JEE MainsNEET
Open question & full solution → - MCQmediumMathematical tools and vector
Differentiate y = sin x/√(cos x).
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JEE MainsNEET
Open question & full solution → - MCQmediumMathematical tools and vector
If y = x²cos x, find dy/dx at x = 0.
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JEE MainsNEET
Open question & full solution → - MatchmediumMathematical tools and vector
Match List I with List II and choose the correct option.
List 1
sin(x²)
cos(√x)
tan(1/x)
log(x²+1)
List 2
2xcos(x²)
2x/(x²+1)
-sec²(1/x)/x²
-sin(√x)/(2√x)
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JEE MainsNEET
Open question & full solution → - MCQmediumMathematical tools and vector
If y = sin(√(x² + 1)), find dy/dx.
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JEE MainsNEET
Open question & full solution → - MCQmediumMathematical tools and vector
Differentiate y = 1/√[sin(eˣ)].
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JEE MainsNEET
Open question & full solution → - MCQmediumMathematical tools and vector
If y = sin(√x), find dy/dx.
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JEE MainsNEET
Open question & full solution → - MCQmediumMathematical tools and vector
Differentiate y = √(sin x)/√(cos x).
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JEE MainsNEET
Open question & full solution → - MatchmediumMathematical tools and vector
Match List I with List II and choose the correct option.
List 1
√x
1/√x
x√x
1/x²
List 2
-1/(2x√x)
1/(2√x)
-2/x³
3√x/2
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JEE MainsNEET
Open question & full solution → - MCQmediumMathematical tools and vector
If y = log(1+√x), find dy/dx.
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JEE MainsNEET
Open question & full solution →