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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{\partial}{\partial y} (4 x ln (y))

f (x) = 3 x^{2} - x^{3}, (1, 2)

(- 3, - 5), (- 2, - 3)

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

\int 8 x^{2} d x

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