Answer available
Class 12 · Mathematics · Applications of Derivatives
Use differentials to find the approximate value of √36.6.
3 marksMediumNumerical
Class 12 · ICSE · Mathematics
Applications of Derivatives
Rate of change, increasing and decreasing functions, tangents and normals, maxima and minima, and approximations.
- Questions
- 7
- PYQs
- 0
- Topics
- 0
Syllabus mapping: ISC syllabus (CISCE)
Questions
7 questions in this chapter.
- Answer available
Class 12 · Mathematics · Applications of Derivatives
Find the maximum and minimum values of f(x) = x3 − 6x2 + 9x + 5.
3 marksMediumNumerical
- Answer available
Class 12 · Mathematics · Applications of Derivatives
Find the equation of the tangent to the curve y = x2 at the point (2, 4).
3 marksMediumNumerical
- Answer available
Class 12 · Mathematics · Applications of Derivatives
Find the intervals in which f(x) = x3 − 3x is increasing and decreasing.
3 marksMediumNumerical
- Answer available
Class 12 · Mathematics · Applications of Derivatives
A rectangle is to be made with a perimeter of 40 cm. Find the dimensions that give the greatest area.
4 marksHardApplication based
- Answer available
Class 12 · Mathematics · Applications of Derivatives
Find the minimum value of f(x) = x + 1/x for x > 0.
3 marksMediumNumerical
- Answer available
Class 12 · Mathematics · Applications of Derivatives
The radius of a circle is increasing at 3 cm per second. Find the rate at which its area is increasing when the radius is 10 cm.
3 marksMediumApplication based