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

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

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

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

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

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d}{d x} (e^{x y z} sin (x y) cos (2 x z))

\int_{0}^{1} (3 + x x) d x

\int ln (x^{5}) d x

\frac{d}{d x} (ln (8 x^{2}))

d er i v a t i v e x^{2} + 4 x - 2

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