CBSE Maths 12 Science MCQ Application of Derivatives Answers in English to enable students to get Answers in a narrative video format for the specific question.

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**Question 1** : Equation of normal to the curve x+y=x^y where it cuts x-axis; is (View Answer Video)

**Question 2** : For the curve, y= if x increases at the rate of 2 units/sec, then how fast is the slope of curve changing when x=3? (View Answer Video)

**Question 3** : The total cost C(x) (in Rs) associated with the production of 'x' units of an item is given by :

C (x)=0.005x^{3}-0.02x^{2}+30x+5000.

Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output. (View Answer Video)

**Question 4** : The normal at the point (1, 1) on the curve is: (View Answer Video)

**Question 5** : For all values of x, the minimum value of is : (View Answer Video)

**Question 1** : Find the vector equation of a plane which is at a distance of 5 units from the origin and its normal vector is (View Answer Video)

**Question 2** : Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane. (View Answer Video)

**Question 3** : Write the equation of the straight line through the point and parallel to z-axis. (View Answer Video)

**Question 4** : Find the equation of the plane passing through the line of intersection of the planes and which is perpendicular to the plane . (View Answer Video)

**Question 5** : A line passes through the point with position vector and makes angles and with x, y and z-axis respectively. Find the equation of the line in the Cartesian form. (View Answer Video)

**Question 1** : The objective function is maximum or minimum, which lies on the boundary of the feasible region. (View Answer Video)

**Question 1** : Find the area of the region bounded by the curve and . (View Answer Video)

**Question 2** : Find the area of the region enclosed by the parabola the line y = x + 2. (View Answer Video)

**Question 3** : A farmer has a field of shape bounded by and x = 3, he wants to divide this into his two sons equally by a straight line x = c. Can you find c? What value, you find in the person ? (View Answer Video)

**Question 4** : Find the area of the region . (View Answer Video)

**Question 5** : Using the method of integration, find the area of the region bounded by the lines: 5x - 2y -10 = 0, x + y - 9 = 0 and 2x - 5y - 4 = 0. (View Answer Video)