How do you differentiate given #sin^2(x/6)#?
By signing up, you agree to our Terms of Service and Privacy Policy
To differentiate sin^2(x/6), you can use the chain rule of differentiation. First, let's rewrite sin^2(x/6) as (sin(x/6))^2. Then, differentiate it with respect to x.
The chain rule states that if y = f(g(x)), then dy/dx = f'(g(x)) * g'(x).
In this case, let g(x) = x/6 and f(x) = sin^2(x).
Now, differentiate f(x) = sin^2(x) with respect to x: f'(x) = 2 * sin(x) * cos(x).
Next, differentiate g(x) = x/6 with respect to x: g'(x) = 1/6.
Now, apply the chain rule: (dy/dx) = f'(g(x)) * g'(x) (dy/dx) = 2 * sin(x/6) * cos(x/6) * (1/6)
So, the derivative of sin^2(x/6) with respect to x is: (dy/dx) = (1/3) * sin(x/6) * cos(x/6)
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7