What is (\partial)/(\partial x)(42y^9x^5-30y^8x^4) ?

The answer to (\partial)/(\partial x)(42y^9x^5-30y^8x^4) is 210y^9x^4-120y^8x^3

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(\partial)/(\partial x)(42y^9x^5-30y^8x^4)

\frac{\partial}{\partial x} (42 y^{9} x^{5} - 30 y^{8} x^{4})

210 y^{9} x^{4} - 120 y^{8} x^{3}

Solution steps

\frac{\partial}{\partial x} (42 y^{9} x^{5} - 30 y^{8} x^{4})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (42 y^{9} x^{5}) - \frac{\partial}{\partial x} (30 y^{8} x^{4})

\frac{\partial}{\partial x} (42 y^{9} x^{5}) = 210 y^{9} x^{4}

\frac{\partial}{\partial x} (30 y^{8} x^{4}) = 120 y^{8} x^{3}

= 210 y^{9} x^{4} - 120 y^{8} x^{3}

\int \frac{x ^{2} - 4 x - 4}{x ^{3} - 2 x ^{2} + 4 x - 8} d x

x \to 3 lim (12 - 4 x + 2)

f (x) = 4 x^{3} - 1 x - 2

\int_{0}^{2} \frac{1}{( x - 1 ) ^{\frac{2}{5}}} d x

\int_{6}^{13} \frac{1}{( x - 8 ) ^{2}} d x

What is (\partial)/(\partial x)(42y^9x^5-30y^8x^4) ?
The answer to (\partial)/(\partial x)(42y^9x^5-30y^8x^4) is 210y^9x^4-120y^8x^3