A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find the derivative of x² - 2 at x = 10
Solution:
Let f (x) = x2 - 2
The limit definition of a derivative is,
f' (10) = limₕ→₀ [f (10 + h) - f (10)]/h
= limₕ→₀ {[(10 + h)2 - 2] - (102 - 2)} / h
= limₕ→₀ (102 + 2.10.h + h2 - 2 - 102 + 2)/h
= limₕ→₀ (20h + h2)/h
= limₕ→₀ (20 + h)
= 20 + 0
= 20
Thus, the derivative of x2 - 2 at x = 10 is 20
NCERT Solutions Class 11 Maths Chapter 13 Exercise 13.2 Question 1
Find the derivative of x² - 2 at x = 10
Summary:
The value of the derivative of x2 - 2 at x = 10 is 20
Math worksheets and
visual curriculum
visual curriculum