Question

Derivative
of tan√x with rispect to x​

Answer 1

Answer:

d(tan√x) /dx=sec²√x.d(√x) /dx

= sec²√x.1/2√x=(sec²√x) /2√x

Answer 2

Answer:

$\frac{ {sec}^{2} \sqrt{x} }{2 \sqrt{x} }$

Step-by-step explanation:

$f(x) = tan( \sqrt{x} ) \\ \\ formulae \\ \\ \frac{d}{dx} tan \: x \: = \: {sec}^{2} x \\ \\ \frac{d}{dx} \sqrt{x} = \frac{1}{2 \sqrt{x} } \\ \\ \frac{d}{dx} (a(b(x)) = {a}^{l} (b(x)) {b}^{l} (x) \\ \\ now \\ \\ {f}^{l} (x) = \frac{d}{dx} tan \sqrt{x} \\ \\ {f}^{l} (x) = {sec}^{2} \sqrt{x} \frac{d}{dx} \sqrt{x} \\ \\ {f}^{l} (x) = \frac{ {sec}^{2} \sqrt{x} }{2 \sqrt{x} }$

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