What is (\partial)/(\partial x)(30y^9x^4-20y^8x^3) ?

The answer to (\partial)/(\partial x)(30y^9x^4-20y^8x^3) is 120y^9x^3-60y^8x^2

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(\partial)/(\partial x)(30y^9x^4-20y^8x^3)

\frac{\partial}{\partial x} (30 y^{9} x^{4} - 20 y^{8} x^{3})

120 y^{9} x^{3} - 60 y^{8} x^{2}

Solution steps

\frac{\partial}{\partial x} (30 y^{9} x^{4} - 20 y^{8} x^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (30 y^{9} x^{4}) - \frac{\partial}{\partial x} (20 y^{8} x^{3})

\frac{\partial}{\partial x} (30 y^{9} x^{4}) = 120 y^{9} x^{3}

\frac{\partial}{\partial x} (20 y^{8} x^{3}) = 60 y^{8} x^{2}

= 120 y^{9} x^{3} - 60 y^{8} x^{2}

\int_{0}^{1} 7 e^{- 2 x} d x

x \to - \infty lim (1^{x})

f (x) = 4 - 3 x^{4} - 2

4 cos (x) + 12 x

\int_{1}^{2} \frac{5}{x ^{2}} d x

What is (\partial)/(\partial x)(30y^9x^4-20y^8x^3) ?
The answer to (\partial)/(\partial x)(30y^9x^4-20y^8x^3) is 120y^9x^3-60y^8x^2