What is (\partial)/(\partial x)(56y^4x^6-42y^3x^5) ?

The answer to (\partial)/(\partial x)(56y^4x^6-42y^3x^5) is 336y^4x^5-210y^3x^4

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(\partial)/(\partial x)(56y^4x^6-42y^3x^5)

\frac{\partial}{\partial x} (56 y^{4} x^{6} - 42 y^{3} x^{5})

336 y^{4} x^{5} - 210 y^{3} x^{4}

Solution steps

\frac{\partial}{\partial x} (56 y^{4} x^{6} - 42 y^{3} x^{5})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (56 y^{4} x^{6}) - \frac{\partial}{\partial x} (42 y^{3} x^{5})

\frac{\partial}{\partial x} (56 y^{4} x^{6}) = 336 y^{4} x^{5}

\frac{\partial}{\partial x} (42 y^{3} x^{5}) = 210 y^{3} x^{4}

= 336 y^{4} x^{5} - 210 y^{3} x^{4}

What is (\partial)/(\partial x)(56y^4x^6-42y^3x^5) ?
The answer to (\partial)/(\partial x)(56y^4x^6-42y^3x^5) is 336y^4x^5-210y^3x^4