What is the derivative of cos(2y-3x^2y^2) ?

The derivative of cos(2y-3x^2y^2) is -sin(2y)*2(dy)/(dx)-3(2xy^2+2y(dy)/(dx)x^2)

What is the first derivative of cos(2y-3x^2y^2) ?

The first derivative of cos(2y-3x^2y^2) is -sin(2y)*2(dy)/(dx)-3(2xy^2+2y(dy)/(dx)x^2)

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\frac{d}{d x} (cos (2 y) - 3 x^{2} y^{2})

- sin (2 y) \cdot 2 \frac{d y}{d x} - 3 (2 x y^{2} + 2 y \frac{d y}{d x} x^{2})

Solution steps

\frac{d}{d x} (cos (2 y) - 3 x^{2} y^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (cos (2 y)) - \frac{d}{d x} (3 x^{2} y^{2})

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

\frac{d}{d x} (3 x^{2} y^{2}) = 3 (2 x y^{2} + 2 y \frac{d y}{d x} x^{2})

= - sin (2 y) \cdot 2 \frac{d y}{d x} - 3 (2 x y^{2} + 2 y \frac{d y}{d x} x^{2})

\int x (x^{2} + 5)^{3} d x

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\frac{d}{d x} (\frac{1 - 2 x ^{3}}{( 1 + x ^{3} ) ^{2}})

(arctan (8 x))^{2}

\int_{1}^{e^{2}} ln (x) d x

What is the derivative of cos(2y-3x^2y^2) ?
The derivative of cos(2y-3x^2y^2) is -sin(2y)*2(dy)/(dx)-3(2xy^2+2y(dy)/(dx)x^2)
What is the first derivative of cos(2y-3x^2y^2) ?
The first derivative of cos(2y-3x^2y^2) is -sin(2y)*2(dy)/(dx)-3(2xy^2+2y(dy)/(dx)x^2)