CBSE Class 12-science - Rate of Change and Approximations Videos
Determine rate of change of quantities using derivatives of functions
Learn to apply the derivative of a function to determine the rate of change of quantities and to find the approximate value of certain quantities.
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pie by 180 kaise aya
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pls provide solution
- A ladder 17 metre long is leaning against the wall. The base of the ladder is pulled away from the wall at a rate of 5m/s. When the base of the ladder is 8 metres from the wall, i) How fast is the top of the ladder moving down the wall? ii) At what rate, the area of the triangle formed by the ladder, wall, and the floor, is changing ?
- Using differentials find the approx value Log e 10.02 given that loge 10 = 2.3026
- Using differentials find the approx value (27)1/3
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Find the value of
approximately using differentials.
- The total revenue obtained by selling x units of a commodity is given by R(x) = 12x2 - 24x +19. Find the marginal revenue when x=17.
- Find the approximate value of f(4.02) where the function is given by f(x)=x3 - 3x2 + x + 2
- A ladder, which is 13 m in length, is resting against a wall. A man starts pulling the foot of the ladder away from the wall at the rate of 3 m/s. Find the rate at which the top of the ladder is sliding when the foot of the ladder is 5 m away from the wall.
- Look at the conical funnel whose vertical angle is 90o. Water is dripping out from it at uniformly at the rate of 8 cm3/sec through a tiny hole at the vertex. Find the rate at which the slant height of the water is decreasing when the slant height of the water is 4cm. Is leaking of water leads to wastage of water? Do you think we can afford to waste our natural resources?
