Question

if f(x)=tanx,prove that dtanx/dx=sec2x.

Answer 1

As,
$\sin^{2}(x) + \cos^{2}(x) = 1$
We get,
$\frac{d \tan(x) }{dx} = \frac{1}{ \cos^{2}(x) }$
And 1/cos²x = sec²x
$\frac{d \tan(x) }{dx} = \sec^{2}(x)$

Hence proved

Answer 2

Answer:

Step-by-step explanation:

See the attachment