What is the derivative of sin^2(x-3) ?

The derivative of sin^2(x-3) is sin(2x)

What is the first derivative of sin^2(x-3) ?

The first derivative of sin^2(x-3) is sin(2x)

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

sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d}{d x} (3) = 0

= sin (2 x) - 0

Simplify

= sin (2 x)

\frac{\partial}{\partial x} (e^{5 x} cos (7 y))

\frac{d}{d x} (\frac{2 x + 3}{5 x + 4})

\frac{d}{d x} (2 e^{(x - 5)})

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

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

What is the derivative of sin^2(x-3) ?
The derivative of sin^2(x-3) is sin(2x)
What is the first derivative of sin^2(x-3) ?
The first derivative of sin^2(x-3) is sin(2x)