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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

ConceptIncreasing and Decreasing Functions

#### Question

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

#### Solution

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

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

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

$\Rightarrow f'\left( x \right) > 0$

$\Rightarrow \cos x - a > 0$

$\Rightarrow \cos x > a$

$\text { We know,}$

$\cos x \geq - 1, \forall x \in R$

$\Rightarrow a < - 1$

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

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Solution for question: 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. For the courses CBSE (Science), CBSE (Commerce), PUC Karnataka Science, CBSE (Arts)
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