What is the derivative of sin(2xsin(x)) ?

The derivative of sin(2xsin(x)) is cos(2x)*2sin(x)+cos(x)sin(2x)

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

The first derivative of sin(2xsin(x)) is cos(2x)*2sin(x)+cos(x)sin(2x)

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

cos (2 x) \cdot 2 sin (x) + cos (x) sin (2 x)

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = sin (2 x), g = sin (x)

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

\frac{d}{d x} (sin (2 x)) = cos (2 x) \cdot 2

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

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

\frac{d y}{d x}, 25 x = y^{4}

\frac{d}{d x} ((9 x^{6} + 4 x^{3})^{4})

6 x^{2}, x^{2} + 9

\int 2 x e^{- 3 x} d x

\frac{d y}{d x} (y) = 7 - 9 tan (x)

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