What is (\partial)/(\partial x)(6y^7x^5-5y^6x^4) ?

The answer to (\partial)/(\partial x)(6y^7x^5-5y^6x^4) is 30y^7x^4-20y^6x^3

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(\partial)/(\partial x)(6y^7x^5-5y^6x^4)

\frac{\partial}{\partial x} (6 y^{7} x^{5} - 5 y^{6} x^{4})

30 y^{7} x^{4} - 20 y^{6} x^{3}

Solution steps

\frac{\partial}{\partial x} (6 y^{7} x^{5} - 5 y^{6} x^{4})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 y^{7} x^{5}) - \frac{\partial}{\partial x} (5 y^{6} x^{4})

\frac{\partial}{\partial x} (6 y^{7} x^{5}) = 30 y^{7} x^{4}

\frac{\partial}{\partial x} (5 y^{6} x^{4}) = 20 y^{6} x^{3}

= 30 y^{7} x^{4} - 20 y^{6} x^{3}

What is (\partial)/(\partial x)(6y^7x^5-5y^6x^4) ?
The answer to (\partial)/(\partial x)(6y^7x^5-5y^6x^4) is 30y^7x^4-20y^6x^3