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

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

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

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

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derivative of

f (x) = sin (x) cos (x) - x^{2}

cos (2 x) - 2 x

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= cos (2 x) - 2 x

\int x e^{- \frac{2}{5} x} d x

\int \frac{1}{( x - 1 ) ( x ^{2} + 1 )} d x

y^{^{''}} - 5 y^{^{'}} - 6 y = 12 e^{2} t

\frac{\partial}{\partial x} (y e^{3 x})

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