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  • Explain Solution RD Sharma Class 12 Chapter 14 Inverse Trigonometric Function Exercise Very Short Answer Question 3 Maths.

Explain Solution RD Sharma Class 12 Chapter 14 Inverse Trigonometric Function Exercise Very Short Answer Question 3 Maths.

Answers (1)

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Answer:

Statement of mean value theorem.

Hint:

You must know about mean value theorem.

Given:

Lagrange’s mean value theorem.

Solution:

Let  be a function that satisfies the following hypothesis.

  1. f\left ( x \right ) is continuous on the closed interval \left [ a,b \right ].
  2. f\left ( x \right ) is differentiable on the open interval \left ( a,b \right ).

Then there is a value in \left ( a,b \right ) such that

                {f}'\left ( c \right )=\frac{f\left ( b \right )-f\left ( a \right )}{b-a}

Or equivalently

                f\left ( b \right )-f\left ( a \right )={f}'\left ( c \right )\left ( b-a \right )

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