What is (\partial)/(\partial x)(6x^7y^5z^6) ?

The answer to (\partial)/(\partial x)(6x^7y^5z^6) is 42x^6y^5z^6

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(\partial)/(\partial x)(6x^7y^5z^6)

\frac{\partial}{\partial x} (6 x^{7} y^{5} z^{6})

42 x^{6} y^{5} z^{6}

Solution steps

\frac{\partial}{\partial x} (6 x^{7} y^{5} z^{6})

Treat

y, z

as constants

Take the constant out:

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

= 6 y^{5} z^{6} \frac{\partial}{\partial x} (x^{7})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 6 y^{5} z^{6} \cdot 7 x^{7 - 1}

Simplify

= 42 x^{6} y^{5} z^{6}

\int e^{- s t} t^{4} d t

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

20 x + x^{2} - x^{3}, y = 0, [- 4, 5]

x^{2} + 4 x - 5, - x^{2} + 4 x + 3

x \to 1 lim (4 x^{2})

What is (\partial)/(\partial x)(6x^7y^5z^6) ?
The answer to (\partial)/(\partial x)(6x^7y^5z^6) is 42x^6y^5z^6