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F(X) = Cos X, 0<X< π . - CBSE (Science) Class 12 - Mathematics

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Question

f(x) =  cos x, 0 < x < \[\pi\] .

Solution

\[\text { Given: } \hspace{0.167em} f\left( x \right) = \cos x\]

\[ \Rightarrow f'\left( x \right) = - \sin x\]

\[\text { For a local maximum or a local minimum, we must have }\]

\[f'\left( x \right) = 0\]

\[ \Rightarrow - \sin x = 0\]

\[ \Rightarrow \sin x = 0\]

\[ \Rightarrow x = 0 \ or \ \pi\]

Since \[0 < x < \pi\]  none is in the interval \[\left( 0, \pi \right)\] . 

  Is there an error in this question or solution?

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Solution F(X) = Cos X, 0<X< π . Concept: Graph of Maxima and Minima.
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