CBSE Class 12-science - Increasing and Decreasing Functions Videos

• A man is moving away from a 40 m high tower at a speed of 2m/s . find the rate at which angle of elevation of the top of the tower  is changing when he is at a distance of 30m from foot of tower. Assume that eye level of the man is 1.6 m from the ground. explain in great detail
• Show that the function f (x) = 2x + 3 is strictly increasing function on R.
• Show that the function f (x) = x² is strictly increasing function on [0,∞).
• Show that the function f (x) = a^x, a > 1 is strictly increasing on R.
• Find the intervals in which f (x) = –x² – 2x + 15 is increasing or decreasing
• Find the intervals in which the function f (x) is increasing, f (x) = 2x³ - 9x² + 12x + 15
• Find the intervals in which the function f (x) is  decreasing f(x) = 2x³ + 9x² + 12x + 20
• Find the intervals in which f (x) = (x + 1)³ (x - 3)³ is increasing or decreasing.
• Find the intervals in which the function f (x) =  is increasing or decreasing
• Determine the intervals in which the function f (x) = x⁴ – 8x³ + 22x² – 24x + 21 is decreasing or increasing

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