What is (\partial)/(\partial x)(8x^6y^4+9x^5y^7) ?

The answer to (\partial)/(\partial x)(8x^6y^4+9x^5y^7) is 48y^4x^5+45y^7x^4

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(\partial)/(\partial x)(8x^6y^4+9x^5y^7)

\frac{\partial}{\partial x} (8 x^{6} y^{4} + 9 x^{5} y^{7})

48 y^{4} x^{5} + 45 y^{7} x^{4}

Solution steps

\frac{\partial}{\partial x} (8 x^{6} y^{4} + 9 x^{5} y^{7})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (8 x^{6} y^{4}) + \frac{\partial}{\partial x} (9 x^{5} y^{7})

\frac{\partial}{\partial x} (8 x^{6} y^{4}) = 48 y^{4} x^{5}

\frac{\partial}{\partial x} (9 x^{5} y^{7}) = 45 y^{7} x^{4}

= 48 y^{4} x^{5} + 45 y^{7} x^{4}

\frac{\partial}{\partial x} (\frac{- x}{( x + y ) ^{2}})

f (x) = sech (x)

(\frac{x ^{2} + 5}{x ^{2} - 5})^{2}

\int sin (0)

\int (6 x^{2} - 8 x + 3) d x

What is (\partial)/(\partial x)(8x^6y^4+9x^5y^7) ?
The answer to (\partial)/(\partial x)(8x^6y^4+9x^5y^7) is 48y^4x^5+45y^7x^4