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

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

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

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

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derivative of

f (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)

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