A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Solution:
Let f (x) = 99x
The limit definition of a derivative is,
f' (100) = limₕ→₀ [f (100 + h) - f (100)]/h
= limₕ→₀ {[99 (100 + h)] - 99(100)}/h
= limₕ→₀ (9900 + 99h - 9900)/h
= limₕ→₀ (99h)/h
= limₕ→₀ (99)
= 99
Thus, the derivative of 99x at x = 100 is 99
NCERT Solutions Class 11 Maths Chapter 13 Exercise 13.2 Question 3
Summary:
Thus, the derivative of 99x at x = 100 is 99