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

The derivative of x^2-sin^2(x) is 2x-sin(2x)

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

The first derivative of x^2-sin^2(x) is 2x-sin(2x)

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

2 x - sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 x - sin (2 x)

y^{^{'}} = e^{2 x} (1 + y^{2})

\frac{d}{d x} (x cos (x) + 3 π)

\int y^{2} - 2 x d x

\int x e^{- 8 x} d x

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