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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int (1 - sin (x) + tan (x)) d x

\int \frac{12}{1 - x ^{2}} d x

y = 4 e^{5 x}

f (x) = x^{4} + 2 e^{x}

6

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