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Sequence

Find the valu...

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Find the value of Xsinx and Xlnx by chain rule.

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\frac{d}{d x} ({cos}^{2} x)

by using chain rule.

Q. Assertion :The equation

x ln x = 2 - x

is satisfied by least one value of

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1

2

. Reason: The function

f (x) = x ln x

an increasing function in

[1, 2]

and the graph represented by these functions intersect at a point in

[1, 2]

.

lim x \to 0 \frac{a e^{x} - b cos x + c e^{- x}}{x sin x} = 2.

Find the value of a,b and c.

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f (x) = x ln x

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