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Questions › IIT JAM › IIT JAM 2026 › Q50
1 markMathematics › Limits, continuity and differentiability › Rules of differentiationModerateabout 2 min

IIT JAM 2026 Question 50: Limits, continuity and differentiability

The value of the first derivative of f(x)=(3x3+2x2+x+1)2f(x)=(3x^3+2x^2+x+1)^2f(x)=(3x3+2x2+x+1)2 evaluated at x=2x=2x=2 is ________ (in integer).

Answer and worked solution

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Plain-text version

The value of the first derivative of f(x)=(3x³+2x²+x+1)² evaluated at x=2 is (*in integer*).

Also written as: The value of the first derivative of f(x)=(3x^3+2x^2+x+1)^2 evaluated at x=2 is (*in integer*).

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.

TestStop has 30 past-paper questions on this subtopic.

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