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Questions › GATE › GATE 2025 › Q32
1 mark, −0.333Mathematics › Limits, continuity and differentiability › Rules of differentiationModerateabout 2 min

GATE 2025 Question 32: Limits, continuity and differentiability

Let f(x)=−3x2(1−x)−3x(1−x)2−(1−x)3f(x) = -3x^2(1-x) - 3x(1-x)^2 - (1-x)^3f(x)=−3x2(1−x)−3x(1−x)2−(1−x)3. Then, df(x)dx=\dfrac{df(x)}{dx} =dxdf(x)​=

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Let f(x) = -3x²(1-x) - 3x(1-x)² - (1-x)³. Then, df(x)/dx = (A) 3x² (B) 3(1-x)² (C) 3x(1-x) (D) x

Also written as: Let f(x) = -3x^2(1-x) - 3x(1-x)^2 - (1-x)^3. Then, df(x)/dx =

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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