What is (\partial)/(\partial x)(x*y^2*z^3) ?

The answer to (\partial)/(\partial x)(x*y^2*z^3) is y^2z^3

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(\partial)/(\partial x)(xy^2z^3)

\frac{\partial}{\partial x} (x \cdot y^{2} \cdot z^{3})

y^{2} z^{3}

Solution steps

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

Treat

y, z

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= y^{2} z^{3} \cdot 1

Simplify

= y^{2} z^{3}

e x p an d (4 x - 3)^{5} (3 - x^{3})^{2}

y^{^{''}} - 16 y^{^{'}} + 64 y = t^{- 2} e^{8 t}

t an g e n t f (x) = 5 x + 75, at x = 5

\int \frac{1 + 2 x}{1 + x ^{2}} d x

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

What is (\partial)/(\partial x)(x*y^2*z^3) ?
The answer to (\partial)/(\partial x)(x*y^2*z^3) is y^2z^3