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

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

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

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

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

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

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

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

= cos (x^{2}) \cdot 2 x - sin (2 x)

\int (2 e^{2 x}) d x

\int \frac{1}{5 x ^{6}} d x

\frac{d}{d x} (x^{4} - 2 x^{2})

\int \frac{3 + 6 sinh ( x )}{x + 2 cosh ( x )} d x

(1 - x^{2})^{(\frac{1}{2})}

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