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6. Application of Derivatives
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Q9 of 33 Page 6

Find the equation of the normal to the curve ay2 = x3 at the point (am2, am3). (CBSE 2012)

finding the slope of the tangent by differentiating the curve




m(tangent) at (am2, am3) is


normal is perpendicular to tangent so, m1m2 = – 1


m(normal) at (am2, am3) is


equation of normal is given by y – y1 = m(normal)(x – x1)


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7

Find the equation of the tangent and the normal to the following curves at the indicated points:

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8

Using differentials, find the approximate values of the following:

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10

The money to be spent for the welfare of the employees of a firm is proportional to the rate of change of its total revenue (Marginal Revenue). If the total revenue ( in rupees) received from the sale of x units of a product is given by

R(x) = 3 x2 + 36 x + 5, find the marginal revenue, when x = 5, and write which value does the question indicate.  (CBSE 2013)

11

Find the equation of the normal to curve x2 = 4y which passes through the point (1, 2). (CBSE 2013)

Questions · 33
6. Application of Derivatives
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