Advertisement Remove all ads

Find the Derivative of the Following Function at the Indicated Point: 2 Cos X at X = π 2 - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Find the derivative of the following function at the indicated point:

2 cos x at x =\[\frac{\pi}{2}\] 

Advertisement Remove all ads

Solution

\[\text{ We have }: \]
\[f'\left( \frac{\pi}{2} \right) = \lim_{h \to 0} \frac{f\left( \frac{\pi}{2} + h \right) - f\left( \frac{\pi}{2} \right)}{h}\]
\[ = \lim_{h \to 0} \frac{2cos\left( \frac{\pi}{2} + h \right) - cos\left( \frac{\pi}{2} \right)}{h}\]
\[ = \lim_{h \to 0} \frac{- 2sin h - 0}{h}\]
\[ = - 2 \lim_{h \to 0} \frac{\sinh}{h}\]
\[ = - 2(1)\]
\[ = - 2\]

Concept: The Concept of Derivative - Algebra of Derivative of Functions
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 30 Derivatives
Exercise 30.1 | Q 7.3 | Page 3

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×