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

The answer to (\partial)/(\partial x)(30y^7x^4-20y^6x^3) is 120y^7x^3-60y^6x^2

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(\partial)/(\partial x)(30y^7x^4-20y^6x^3)

\frac{\partial}{\partial x} (30 y^{7} x^{4} - 20 y^{6} x^{3})

120 y^{7} x^{3} - 60 y^{6} x^{2}

Solution steps

\frac{\partial}{\partial x} (30 y^{7} x^{4} - 20 y^{6} x^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (30 y^{7} x^{4}) - \frac{\partial}{\partial x} (20 y^{6} x^{3})

\frac{\partial}{\partial x} (30 y^{7} x^{4}) = 120 y^{7} x^{3}

\frac{\partial}{\partial x} (20 y^{6} x^{3}) = 60 y^{6} x^{2}

= 120 y^{7} x^{3} - 60 y^{6} x^{2}

\frac{d}{d x} (- 30 x^{3} + \frac{12 x}{5} - \frac{1}{3})

(2 e^{3 x})^{^{'}}

\frac{d}{d x} (sin (x) cos (2 x))

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

\int_{z - 1}^{1} 3 x^{2} - 4 z x + 2 z^{2}

What is (\partial)/(\partial x)(30y^7x^4-20y^6x^3) ?
The answer to (\partial)/(\partial x)(30y^7x^4-20y^6x^3) is 120y^7x^3-60y^6x^2