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Questions › DSE › DSE 2008 › Q18
1 markMathematics › Limits, continuity and differentiability › Rules of differentiationEasyabout 1 min

DSE 2008 Question 18: Limits, continuity and differentiability

The derivative of the function defined by f(x)=sin⁡2x+cos⁡2xf(x)=\sin^{2}x+\cos^{2}xf(x)=sin2x+cos2x is

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The derivative of the function defined by f(x)=sin²x+cos²x is (A) an increasing function of x (B) an oscillating function of x (C) a constant (D) a decreasing function of x

Also written as: The derivative of the function defined by f(x)=sin^2x+cos^2x is

Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.

What this question tests

This question is on Rules of differentiation, part of Limits, continuity and differentiability in Mathematics.

Finding derivatives with the power, product, quotient and chain rules.

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Question from the DSE 2008 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.