CBSEClass 12MathsApplication of Derivatives
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1. f(x) = (\(\frac{e^{2x}-1}{e^{2x}+1}\)) is

2. If f (x) = \(\frac{x}{sin x}\) and g (x) = \(\frac{x}{tan x}\), 0 < x ≤ 1, then in the interval

3. The function f(x) = cot x + x increases in the interval

4. The function f(x) = \(\frac{x}{log x}\) increases on the interval

5. The value of b for which the function f (x) = sin x – bx + c is decreasing for x ∈ R is given by

6. If f (x) = x³ – 6x² + 9x + 3 be a decreasing function, then x lies in

7. The function f (x) = 1 – x³ – x

8. Function, f (x) = \(\frac{λ sin x+ 6 cos x}{2 sin x + 3 cos x}\) is monotonic increasing, if

9. The length of the longest interval, in which the function 3 sin x – 4 sin³ x is increasing is

10. 2x³ – 6x + 5 is an increasing function, if

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