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

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

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

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

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Popular >

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

\int_{2}^{\infty} 8 x^{- 2} d x

\int 7 - \frac{1}{7 x ^{2}} d x

x \to 0 lim ((1 - e^{x})^{x})

\int \frac{x ^{6}}{( 8 - x ^{7} ) ^{2}} d x

\frac{1}{x - 1}, 6

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