What is the derivative of 7sin^2(x) ?

The derivative of 7sin^2(x) is 7sin(2x)

What is the first derivative of 7sin^2(x) ?

The first derivative of 7sin^2(x) is 7sin(2x)

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\frac{d}{d x} (7 sin^{2} (x))

7 sin (2 x)

Solution steps

\frac{d}{d x} (7 sin^{2} (x))

Take the constant out:

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

= 7 \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)

= 7 \cdot 2 sin (x) cos (x)

Simplify

7 \cdot 2 sin (x) cos (x) : 7 sin (2 x)

= 7 sin (2 x)

What is the derivative of 7sin^2(x) ?
The derivative of 7sin^2(x) is 7sin(2x)
What is the first derivative of 7sin^2(x) ?
The first derivative of 7sin^2(x) is 7sin(2x)