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Solution for Find the Values of 'A' for Which the Function F(X) = Sin X − Ax + 4 is Increasing Function On R ? - CBSE (Science) Class 12 - Mathematics

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Question

Find the values of 'a' for which the function f(x) = sin x − ax + 4 is increasing function on R ?

Solution

\[f\left( x \right) = \sin x - ax + 4\]

\[f'\left( x \right) = \cos x - a\]

\[\text { Given }:f(x) \text { is increasing on R }.\]

\[ \Rightarrow f'\left( x \right) > 0\]

\[ \Rightarrow \cos x - a > 0\]

\[ \Rightarrow \cos x > a \]

\[\text { We know,}\]

\[\cos x \geq - 1, \forall x \in R \]

\[ \Rightarrow a < - 1\]

\[ \Rightarrow a \in \left( - \infty , - 1 \right)\]

  Is there an error in this question or solution?
Solution Find the Values of 'A' for Which the Function F(X) = Sin X − Ax + 4 is Increasing Function On R ? Concept: Increasing and Decreasing Functions.
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