Class12 ISC Maths Chapter Application of Derivatives Exercise7-3

Class XII ISC Chapter Application Of Derivatives

Explore our extensive collection of Application of Derivatives questions, tailored for class 12 students following the ISC curriculum. This topic is vital for understanding how to optimize a particular outcome given certain constraints. Our practice questions cover various aspects of Linear Programming, including formulating linear inequalities, graphical methods, and finding optimal solutions. Whether you're looking to strengthen your problem-solving skills or prepare for your exams, these questions provide the perfect resource to master Application of Derivatives concepts with ease.

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Application of Derivatives

Class XII ISC Chapter Application Of Derivatives

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Q1(i) Using differentials, find the approximate values of √26

Q1(ii) Using differentials, find the approximate values of √36.6

Q1(iii) Using differentials, find the approximate values of √49.5

Q1(iv) Using differentials, find the approximate values of √401

Q2(i) Using differentials, find the approximate values of √0.26

Q2(ii) Using differentials, find the approximate values of √0.24

Q2(iii) Using differentials, find the approximate values of √0.0037

Q2(iv) Using differentials, find the approximate values of √0.48

Q3(i) Using differentials, find the approximate values of (66)1/3

Q3(ii) Using differentials, find the approximate values of (26)1/3

Q3(iii) Using differentials, find the approximate values of (25)1/3

Q3(iv) Using differentials, find the approximate values of (26.57)1/3

Q4(i) Using differentials, find the approximate values of (82)1/4

Q4(ii) Using differentials, find the approximate values of (15)1/4

Q4(iii) Using differentials, find the approximate values of (32.15)1/5

Q4(iv) Using differentials, find the approximate values of (31.9)1/5

Q5(i) Using differentials, find the approximate values of (0.999)1/10

Q5(ii) Using differentials, find the approximate values of (3.968)3/2

Q6 Find the approximate value of (1.999)5

Q7(i) Find the approximate value of f(3.02), where f(x) = 3x2 +5x + 3

Q7(ii) Find the approximate value of f(5.001), where f(x) = x3 -7x2 + 15

Q8 If the radius of a circle increases from 5 cm to 5.1 cm, find the increase in area

Q9 If the radius of a spherical balloon shrinks from 10 cm to 9.8 cm, find the decrease in its approximate (i) volume (ii) surface area

Q10(i) Find the approximate change in the volume of a cube of side x metres caused by increasing the side by 1%

Q10(ii) Find the approximate change in the surface area of a cube of side x metres by decreasing the side by 1%

Q11(i) If the radius of a sphere is measured as 9 m with an error of 0.03m, then find the approxinmate error in calculating its volume.

Q11(ii) Find the percentage error in computing the surface area of a cubical box if an error of 1% is made in measuring the lenghts of the edges of the box

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Q3(i) Using differentials, find the approximate values of (66)^1/3

Q3(ii) Using differentials, find the approximate values of (26)^1/3

Q3(iii) Using differentials, find the approximate values of (25)^1/3

Q3(iv) Using differentials, find the approximate values of (26.57)^1/3

Q4(i) Using differentials, find the approximate values of (82)^1/4

Q4(ii) Using differentials, find the approximate values of (15)^1/4

Q4(iii) Using differentials, find the approximate values of (32.15)^1/5

Q4(iv) Using differentials, find the approximate values of (31.9)^1/5

Q5(i) Using differentials, find the approximate values of (0.999)^1/10

Q5(ii) Using differentials, find the approximate values of (3.968)^3/2

Q6 Find the approximate value of (1.999)⁵

Q7(i) Find the approximate value of f(3.02), where f(x) = 3x² +5x + 3

Q7(ii) Find the approximate value of f(5.001), where f(x) = x³ -7x² + 15