What is (\partial)/(\partial x)(7y^6x^6-6y^5x^5) ?

The answer to (\partial)/(\partial x)(7y^6x^6-6y^5x^5) is 42y^6x^5-30y^5x^4

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(\partial)/(\partial x)(7y^6x^6-6y^5x^5)

\frac{\partial}{\partial x} (7 y^{6} x^{6} - 6 y^{5} x^{5})

42 y^{6} x^{5} - 30 y^{5} x^{4}

Solution steps

\frac{\partial}{\partial x} (7 y^{6} x^{6} - 6 y^{5} x^{5})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (7 y^{6} x^{6}) - \frac{\partial}{\partial x} (6 y^{5} x^{5})

\frac{\partial}{\partial x} (7 y^{6} x^{6}) = 42 y^{6} x^{5}

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

= 42 y^{6} x^{5} - 30 y^{5} x^{4}

y d x + (x - 4) d y = 0

\frac{d}{d x} (e^{x^{- 2}})

\frac{\partial}{\partial x} (- \frac{4 x}{( x ^{2} - 1 ) ^{2}})

\frac{4}{( s ^{2} + 4 )}

x \to \infty lim (csc (x))

What is (\partial)/(\partial x)(7y^6x^6-6y^5x^5) ?
The answer to (\partial)/(\partial x)(7y^6x^6-6y^5x^5) is 42y^6x^5-30y^5x^4