Answer available
Class 12 · Mathematics · Applications of Derivatives
Use differentials to find the approximate value of √36.6.
3 marksMediumNumerical
ICSE question bank
Every question in the vault, filterable by class, subject, chapter, topic, year, marks, difficulty, type and source. The filters live in the URL, so any view you build can be shared.
7 questions
- 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