APPLICATION OF DERIVATIVES — Maths STD 12 Science — Question
Gujarat BoardEnglish MediumSTD 12 ScienceMathsAPPLICATION OF DERIVATIVES1 Mark
Question
The values of a for which the function f(x) = sinx - ax + b increases on R are ______.
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Answer
The values of a for which the function f(x) = sinx - ax + b increases on R are $(-\infty-1).$ Solution: The values of a for which the function f(x) = sinx - ax + b increases on R are $(-\infty-1).$ $\because\ \text{f}'(\text{x})=\cos\text{x}-\text{a}$ and $\text{f}'(\text{x})>0\Rightarrow\cos\text{x}>\text{a}$ Since, $\cos\text{x}\in[-1,1]$ $\Rightarrow\ \text{a}<-1\Rightarrow\text{a}\in(-\infty,-1)$
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