How to Differentiate sin^2 (x) ?

What is the derivative of sin^2 (x)? We know that the derivative of sin x is equal to cos x. To solve the derivative of sin^2 x, we must know that it is actually a composite function, and we apply the chain rule in order to find the derivative of a composite function. We first differentiate the whole term without changing the inner function, and then multiply it by the derivative of the inner function.
CHAIN RULE EXPLANATION VIDEO:
→ • Learn Chain Rule Diffe...
TIMECODES:
0:00 Introduction
0:18 Composite Function
0:54 Applying the Chain Rule
1:40 Double Angle Identities
2:14 Final answer is obtained

[@ingGS]

Watching your videos back to back, and commenting here to boost your engagement, you deserve it, these videos are great!

[@YeahMathIsBoring]

Thank you so much for your support! I appreciate it! 😊

[@wyattwv]

I’ve always used product rule here but this is awesome!

[@YeahMathIsBoring]

Thanks! Yeah, product rule can also be used in this situation as it is the product of (sin x) and (sin x).

[@kunlong-vp2qx]

I like the way you explain these math problems. Please keep doing it. I know you don't have a lot of subscribers right now but keep working one day you will get a lot more.

[@YeahMathIsBoring]

I appreciate that!

[@abhitechmadhugiri]

Love you sir ❤ thanks a lot...

[@YeahMathIsBoring]

Most welcome!

[@Xaike69]

U can do it using product rule too!

[@YeahMathIsBoring]

Exactly! By using the product rule, it'd be (sin x)(sin x), so we will be getting sin(x)cos(x) + sin(x)cos(x), resulting in 2sin(x)cos(x), and eventually end up with sin(2x)!

[@afifazam92]

How about integrating "sin 2x"?

[@Radii_20]

Can we take the derivative using power rule by applying dy/dx=sin x *sin x?

[@YeahMathIsBoring]

You can use product rule as y = sin x * sin x

[@yahiausama6621]

I memories that sin^2 equals to 1/2(1-cox2x) and just do it from there

[@mahimchowdhury3258]

How you make this animations?

[@YeahMathIsBoring]

PowerPoint