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

The d/(d{x)}({x}^2{y}i+{y}^3{z}j-{z}^2{x}k) is -k{z}^2+2i{x}{y}

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

The first d/(d{x)}({x}^2{y}i+{y}^3{z}j-{z}^2{x}k) is -k{z}^2+2i{x}{y}

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Popular >

\frac{d}{d x} (x^{2} y i + y^{3} z j - z^{2} x k)

- k z^{2} + 2 i x y

Solution steps

\frac{d}{d x} (x^{2} y i + y^{3} z j - z^{2} x k)

Simplify

x^{2} y i + y^{3} z j - z^{2} x k : (j y^{3} z - k z^{2} x) + i x^{2} y

= \frac{d}{d x} ((j y^{3} z - k z^{2} x) + i x^{2} y)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (j y^{3} z - k z^{2} x) + \frac{d}{d x} (i x^{2} y)

\frac{d}{d x} (j y^{3} z - k z^{2} x) = - k z^{2}

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

= - k z^{2} + 2 i x y

(\frac{1 + 1}{x})^{x}

2 x^{20}

\frac{d}{d x} (- 100 + 177.5 - 1.5 (x - 30))

\frac{1}{( x ^{2} + y )}

(x + y)^{3}

What is the d/(d{x)}({x}^2{y}i+{y}^3{z}j-{z}^2{x}k) ?
The d/(d{x)}({x}^2{y}i+{y}^3{z}j-{z}^2{x}k) is -k{z}^2+2i{x}{y}
What is the first d/(d{x)}({x}^2{y}i+{y}^3{z}j-{z}^2{x}k) ?
The first d/(d{x)}({x}^2{y}i+{y}^3{z}j-{z}^2{x}k) is -k{z}^2+2i{x}{y}