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

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**Question 1** : A balloon, which always remains spherical on inflation, is being inflated by pumping in 900 cubic centimetres of gas per second. Find the rate at which the radius of the balloon increases when the radius is 15 cm. (View Answer Video)

**Question 2** : It is given that at x=1, the function attains its maximum value on the interval[0,2]. Find the value of a? (View Answer Video)

**Question 3** : A tank with a rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 2m and volume is If the building of tank costs Rs.70 per sq meter for the base and Rs.45 per sq meter for sides. What is the cost of least expensive? (View Answer Video)

**Question 4** : The slope of the tangent to the curve at the point (2,-1) is _______________. (View Answer Video)

**Question 5** : The line y = x + 1 is a tangent to the curve at the point: (View Answer Video)

**Question 1** : Differentiate the function with respect to x. (View Answer Video)

**Question 2** : Differentiate w.r.t.x. (View Answer Video)

**Question 3** : Find for the function . (View Answer Video)

**Question 4** : Differentiate w.r.t.x the function . (View Answer Video)

**Question 5** : Using the fact that and the differentiation, obtain the sum formula for cosines. (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** : Let Find AB. (View Answer Video)

**Question 2** : Find the inverse of the matrix, . (View Answer Video)

**Question 3** : Find the value of x from the equation: . (View Answer Video)

**Question 4** : Find the value of z from the equation: . (View Answer Video)

**Question 5** : Find the value of Y, if and . (View Answer Video)