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Trigonometric Ratios of Multiples of an Angle

If y=ln x, fi...

Question

If y=lnx, find $\frac{d y}{d x}$

A

$e^{x}$

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B

$\frac{1}{x}$

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C

$\frac{e}{x}$

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D

$\frac{1}{x} e^{x}$

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Solution

The correct option is B
$\frac{1}{x}$

$\frac{d (l n x)}{d x} = \frac{1}{x}$
Table : $\frac{d y}{d x}$ for some common functions
$\begin{matrix} y & \frac{d y}{d x} & y & \frac{d y}{d x} x^{n} & n x^{n - 1} & s e c x & s e c x t a n x s i n x & c o s x & c o s e c x & - c o s e c x c o t x c o s x & - s i n x & I n x & \frac{1}{x} t a n x & s e c^{2} x & e^{x} & e^{x} c o t x & - c o s e c^{2} x \end{matrix}$

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