Question

differentiate of sin square x ÷1+cos square x​

Answer 1

Answer:

we are you still have the same to you so much

Answer 2

Answer:

Explanation:

You can always compute the derivative using the quotient rule, but here a simpler approach is possible.

Let's use the identity

sin2x+cos2x=1⇔sin2x=1−cos2x

and the rule

a2−b2=(a+b)(a−b)

to simplify your function:

f(x)=sin2x1−cosx=1−cos2x1−cosx=(1−cosx)(1+cosx)1−cosx

×=(1−cosx)(1+cosx)(1−cosx)=1+cosx

Now, it's much easier to compute the derivative!

f'(x)=−sin(x)