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Popular >

derivative of (x^2+y^2^2)

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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\int cos^{2} (x) \cdot sin (2 x) d x

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\int \frac{- x - 1}{2 ( x ^{2} + 1 )} d x

Frequently Asked Questions (FAQ)

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