What is (\partial)/(\partial x)(42y^6x^5-30y^5x^4) ?

The answer to (\partial)/(\partial x)(42y^6x^5-30y^5x^4) is 210y^6x^4-120y^5x^3

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(\partial)/(\partial x)(42y^6x^5-30y^5x^4)

\frac{\partial}{\partial x} (42 y^{6} x^{5} - 30 y^{5} x^{4})

210 y^{6} x^{4} - 120 y^{5} x^{3}

Solution steps

\frac{\partial}{\partial x} (42 y^{6} x^{5} - 30 y^{5} x^{4})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (42 y^{6} x^{5}) - \frac{\partial}{\partial x} (30 y^{5} x^{4})

\frac{\partial}{\partial x} (42 y^{6} x^{5}) = 210 y^{6} x^{4}

\frac{\partial}{\partial x} (30 y^{5} x^{4}) = 120 y^{5} x^{3}

= 210 y^{6} x^{4} - 120 y^{5} x^{3}

\int_{1}^{e^{3}} \frac{ln ( x )}{x ^{2}} d x

y^{^{'}} + y = e^{t}

\int \frac{x ^{2} - 9}{x ^{3}} d x

g (x) = x

\frac{d}{d x} (c x e^{x})

What is (\partial)/(\partial x)(42y^6x^5-30y^5x^4) ?
The answer to (\partial)/(\partial x)(42y^6x^5-30y^5x^4) is 210y^6x^4-120y^5x^3