Question

Differentiate sin^2(2x+1) with respect to x
urgent ​

Answer 1

Answer:

Explanation:

♠️ We'll be using chain rule in this , and I'll try to make it more clear so u can solve this kind on question.

# CHAIN RULES ( we'll will differentiating in this order

▶️ Power of function => function => angle

✔️ [ sin^2 ( 2 x + 1 ) ] '

=> 2 sin ( 2 x + 1 ) . [ sin ( 2 x + 1 ) ] ' // Power

=> 2 sin ( 2 x + 1 ) . cos ( 2 x + 1 ) . [ ( 2 x + 1 ) ] ' // function

=> 2 sin ( 2 x + 1 ) . cos ( 2 x + 1 ) . 2

▶️ Now to make your answer clear sprate constants

=> [ 4 sin ( 2 x + 1 ) . cos ( 2 x + 1 ) ]

⏺️ As we know

✔️ 2 sin x . cos x = sin 2 x

=> sin 2 ( 2 x + 1 ) . 2

=> [ 2 sin 2 ( 2 x + 1 ) ] ✔️✔️