What is the derivative of sin^2(xy) ?

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{d}{d x} (x y e^{x z})

\int_{0}^{3} (x) d x

\frac{d}{d x} (5 x + 6 x^{5})

x \to - 8 lim (- 4 x)

e^{- x} x

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