What is (\partial)/(\partial x)(8x^6y^7-7x^5y^6) ?

The answer to (\partial)/(\partial x)(8x^6y^7-7x^5y^6) is 48y^7x^5-35y^6x^4

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(\partial)/(\partial x)(8x^6y^7-7x^5y^6)

\frac{\partial}{\partial x} (8 x^{6} y^{7} - 7 x^{5} y^{6})

48 y^{7} x^{5} - 35 y^{6} x^{4}

Solution steps

\frac{\partial}{\partial x} (8 x^{6} y^{7} - 7 x^{5} y^{6})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (8 x^{6} y^{7}) - \frac{\partial}{\partial x} (7 x^{5} y^{6})

\frac{\partial}{\partial x} (8 x^{6} y^{7}) = 48 y^{7} x^{5}

\frac{\partial}{\partial x} (7 x^{5} y^{6}) = 35 y^{6} x^{4}

= 48 y^{7} x^{5} - 35 y^{6} x^{4}

\int 6 csc^{2} (x) d x

\frac{1}{3} x^{3}

y = - x^{2} + 3 x + 1, y = - x + 1

x \to 0 lim (- 22)

\int \frac{( x e ^{2 x} )}{( 2 x + 1 ) ^{2}} d x

What is (\partial)/(\partial x)(8x^6y^7-7x^5y^6) ?
The answer to (\partial)/(\partial x)(8x^6y^7-7x^5y^6) is 48y^7x^5-35y^6x^4