What is (\partial)/(\partial x)(6y^9x^5-5y^8x^4) ?

The answer to (\partial)/(\partial x)(6y^9x^5-5y^8x^4) is 30y^9x^4-20y^8x^3

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(\partial)/(\partial x)(6y^9x^5-5y^8x^4)

\frac{\partial}{\partial x} (6 y^{9} x^{5} - 5 y^{8} x^{4})

30 y^{9} x^{4} - 20 y^{8} x^{3}

Solution steps

\frac{\partial}{\partial x} (6 y^{9} x^{5} - 5 y^{8} x^{4})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 y^{9} x^{5}) - \frac{\partial}{\partial x} (5 y^{8} x^{4})

\frac{\partial}{\partial x} (6 y^{9} x^{5}) = 30 y^{9} x^{4}

\frac{\partial}{\partial x} (5 y^{8} x^{4}) = 20 y^{8} x^{3}

= 30 y^{9} x^{4} - 20 y^{8} x^{3}

x \to \infty lim (- x R (x) C (x))

y^{^{'}} = \frac{( e ^{(x - y)} )}{1 + e ^{x}}, y (1) = 0

\frac{d}{d t} (5 e^{t})

f (x) = x^{4} - 5 x^{2} + 4, at x = 1

f (x) = x^{3} (x - 9)^{2}

What is (\partial)/(\partial x)(6y^9x^5-5y^8x^4) ?
The answer to (\partial)/(\partial x)(6y^9x^5-5y^8x^4) is 30y^9x^4-20y^8x^3