What is the derivative of 9sin^2(x) ?

The derivative of 9sin^2(x) is 9sin(2x)

What is the first derivative of 9sin^2(x) ?

The first derivative of 9sin^2(x) is 9sin(2x)

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\frac{d}{d x} (9 sin^{2} (x))

9 sin (2 x)

Solution steps

\frac{d}{d x} (9 sin^{2} (x))

Take the constant out:

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

= 9 \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)

= 9 \cdot 2 sin (x) cos (x)

Simplify

9 \cdot 2 sin (x) cos (x) : 9 sin (2 x)

= 9 sin (2 x)

y = x^{2} - 14, y = 13 x

\frac{d}{d x} (- \frac{x ^{3} + x - 1}{2})

\frac{10}{( s ( s + 1 ) )}

sin^{2} (y) d x + x sin (2 y) d y = 0

\int sin^{3} (7 x) d x

What is the derivative of 9sin^2(x) ?
The derivative of 9sin^2(x) is 9sin(2x)
What is the first derivative of 9sin^2(x) ?
The first derivative of 9sin^2(x) is 9sin(2x)