Differentiation — Important Questions
ICSE · Class 12 · Mathematics
103 important questions from Differentiation for ICSE Class 12 Mathematics, with answers. Includes MCQ and multiple choice questions.
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Important Questions from Differentiation
d/dx(xⁿ) =
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C
Power rule: d/dx(xⁿ) = nxⁿ⁻¹. Example: d/dx(x⁵) = 5x⁴.
d/dx(eˣ) =
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C
d/dx(eˣ) = eˣ. The exponential function eˣ is its own derivative — unique property.
d/dx(sin x) =
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B
d/dx(sin x) = cos x. (Mnemonic: S→C→−S→−C→S cycle.)
d/dx(cos x) =
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B
d/dx(cos x) = −sin x. Note the negative sign.
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