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

The derivative of sin(3x+sin^2(3x)) is cos(3x)*3+3sin(6x)

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

The first derivative of sin(3x+sin^2(3x)) is cos(3x)*3+3sin(6x)

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

cos (3 x) \cdot 3 + 3 sin (6 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (sin (3 x)) = cos (3 x) \cdot 3

\frac{d}{d x} (sin^{2} (3 x)) = 3 sin (6 x)

= cos (3 x) \cdot 3 + 3 sin (6 x)

x \to - 5 lim (x + 5)

6 x^{2} y^{^{'}} = y^{^{'}} + 4 x e^{- y}

\frac{( e ^{- s} )}{( s - 1 ) ^{2}}

\frac{d y}{d x} = \frac{( x - 2 )}{y - 4}

\frac{\partial}{\partial x} (y \cdot e^{- x y})

What is the derivative of sin(3x+sin^2(3x)) ?
The derivative of sin(3x+sin^2(3x)) is cos(3x)*3+3sin(6x)
What is the first derivative of sin(3x+sin^2(3x)) ?
The first derivative of sin(3x+sin^2(3x)) is cos(3x)*3+3sin(6x)