What is the derivative of cos(x^2+xy) ?

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

What is the first derivative of cos(x^2+xy) ?

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{\partial}{\partial x} ((1 + x^{3})^{2020})

y^{3}

\frac{d}{d x} (- 2 x^{2} + 36 ln (x))

\int e^{s} d s

y^{^{'}} - 8 y^{2} cos (t) - 7 y^{2} sin (4 t) = 0

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