Which of the following is/are true? I. The derivative of $x^2-2$ at $x=10$ is 18. II. The derivative of $99 x$ at $x=100$ is 99. III. The derivative of $x$ at $x=1$ is 1.

JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

Which of the following is/are true?

I. The derivative of

x^2-2

x=10

is 18.

II. The derivative of

99 x

x=100

is 99.

III. The derivative of

x

x=1

is 1.

View answer and explanation

Correct option: C

II and III are true

Option C is correct because statements II and III are true. The derivative of 99x is 99, and the derivative of x is 1, while the derivative of x²-2 at x=10 is 20, not 18.

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