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)

f (x) = 1 - 3 x, at x = - 1

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

f (x) = sec (x), at x = (\frac{π}{3})

x \to - 1 lim (a r cos (x))

\int \frac{2 + 3 cos ( x )}{sin ^{2} ( x )} d 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)