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

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

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

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

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

cos (x) + 2 sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

1 0^{x}, 1

\frac{d}{d x} (- 8 (64 e^{- 4 x^{2}} x^{3} - 24 e^{- 4 x^{2}} x))

y = 11 x^{2} e^{x}

\int_{1}^{7} \frac{1}{x} d x

\frac{x}{2 - x}

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