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Monotonicity in an Interval

38. Sin1by2co...

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38. Sin1by2cos inverse x equals 1 find x

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f^{'} (x) (1 + x^{3}) = 1

z = g (x)

f (x)

\int_{0}^{1} \frac{1}{1 + z^{3}} d z

f (x) = x^{2} - x + 5, x > \frac{1}{2}

g (x)

is its inverse function, then

g^{'} (7)

Q. Find inverse

f (x) = {log}_{e} (x + \sqrt{x^{2} + 1})

Q. Find the multiplicative inverse of (-1) x (-3) x (-5) x (-7).

g (x)

is the inverse of

f (x)

f^{'} (x) = \frac{1}{1 + x^{3}}

g^{'} (x)

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