# Exercise 6.3 Question 18 prove that the function given by

## Chapter 6 Applications of Derivatives Class 12 Maths

Exercise 6.3 Question 18: Prove that the function given by {\displaystyle f(x) = x^3 - 3{x^2} + 3x - 100 } is increasing in R.

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## Show that the function given by f (x) = sin x is

NCERT Exercise 6.2 Question 3: Show that the function given by {\displaystyle f(x) = \sin x } (a) increasing in {\displaystyle \left ( 0, \frac{\pi}{2} \right ) } (b) decreasing in {\displaystyle \left ( \frac{\pi}{2}, \pi \right ) } (c) neither increasing nor decreasing in {\displaystyle (0, \pi) }

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## A ladder 5 m long is leaning against a wall. The bottom of the ladder is pulled along the ground

NCERT Exercise 6.1 Question 10 A ladder 5 m long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4 m away from the wall ?