What is the derivative of 6sin^2(x) ?

The derivative of 6sin^2(x) is 6sin(2x)

What is the first derivative of 6sin^2(x) ?

The first derivative of 6sin^2(x) is 6sin(2x)

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\frac{d}{d x} (6 sin^{2} (x))

6 sin (2 x)

Solution steps

\frac{d}{d x} (6 sin^{2} (x))

Take the constant out:

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

= 6 \frac{d}{d x} (sin^{2} (x))

Apply the chain rule:

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

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

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

= 6 \cdot 2 sin (x) cos (x)

Simplify

6 \cdot 2 sin (x) cos (x) : 6 sin (2 x)

= 6 sin (2 x)

\frac{d}{d t} (π t^{2})

\int 16 - r^{2} r d r

y^{^{''}} + 7 y^{^{'}} + 12 = 0

cos (x), - 0.25

What is the derivative of 6sin^2(x) ?
The derivative of 6sin^2(x) is 6sin(2x)
What is the first derivative of 6sin^2(x) ?
The first derivative of 6sin^2(x) is 6sin(2x)