What is the d/(d{x)}(({x}^2+{y}^2+{z}^2)^3) ?

The d/(d{x)}(({x}^2+{y}^2+{z}^2)^3) is 6({x}^2+{y}^2+{z}^2)^2{x}

What is the first d/(d{x)}(({x}^2+{y}^2+{z}^2)^3) ?

The first d/(d{x)}(({x}^2+{y}^2+{z}^2)^3) is 6({x}^2+{y}^2+{z}^2)^2{x}

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Popular >

\frac{d}{d x} ((x^{2} + y^{2} + z^{2})^{3})

6 (x^{2} + y^{2} + z^{2})^{2} x

Solution steps

\frac{d}{d x} ((x^{2} + y^{2} + z^{2})^{3})

Apply the chain rule:

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

= 3 (x^{2} + y^{2} + z^{2})^{2} \frac{d}{d x} (x^{2} + y^{2} + z^{2})

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

= 3 (x^{2} + y^{2} + z^{2})^{2} \cdot 2 x

Simplify

= 6 (x^{2} + y^{2} + z^{2})^{2} x

2 x + y

\frac{d}{dd} (d + 7)

y = x + 2 x sin (x)

y = tan (- x + 1)

\frac{d}{d x} ((x^{2} - 2) (m - n) - 2 m + 2 n)

What is the d/(d{x)}(({x}^2+{y}^2+{z}^2)^3) ?
The d/(d{x)}(({x}^2+{y}^2+{z}^2)^3) is 6({x}^2+{y}^2+{z}^2)^2{x}
What is the first d/(d{x)}(({x}^2+{y}^2+{z}^2)^3) ?
The first d/(d{x)}(({x}^2+{y}^2+{z}^2)^3) is 6({x}^2+{y}^2+{z}^2)^2{x}