What is (\partial)/(\partial x)(3sin^2(x)) ?

The answer to (\partial)/(\partial x)(3sin^2(x)) is 3sin(2x)

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(\partial)/(\partial x)(3sin^2(x))

\frac{\partial}{\partial x} (3 sin^{2} (x))

3 sin (2 x)

Solution steps

\frac{\partial}{\partial x} (3 sin^{2} (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{\partial}{\partial x} (sin^{2} (x))

Apply the chain rule:

2 sin (x) \frac{\partial}{\partial x} (sin (x))

= 2 sin (x) \frac{\partial}{\partial x} (sin (x))

\frac{\partial}{\partial x} (sin (x)) = cos (x)

= 3 \cdot 2 sin (x) cos (x)

Simplify

3 \cdot 2 sin (x) cos (x) : 3 sin (2 x)

= 3 sin (2 x)

\int 3 sin^{3} (2 x co) s^{3} 2 x d x

\int (2 x - 4) (x^{2} - 4 x + 3)^{5} d x

3 x^{2} + 10 x - 26

\frac{x}{8 x + 7}

f (x) = \frac{10 x}{x ^{2} - 6}

What is (\partial)/(\partial x)(3sin^2(x)) ?
The answer to (\partial)/(\partial x)(3sin^2(x)) is 3sin(2x)