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

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

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

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

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

2 cos (x) + sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d}{d X} ((X - 3)^{2} + 2)

f (x) = \frac{3 x}{x ^{2} + 1}

\int (x - \frac{1}{x}) d x

\frac{x + 1}{x + 3}

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{t}

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