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

The answer to (\partial)/(\partial x)(7y^8x^6-6y^7x^5) is 42y^8x^5-30y^7x^4

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

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

42 y^{8} x^{5} - 30 y^{7} x^{4}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (7 y^{8} x^{6}) = 42 y^{8} x^{5}

\frac{\partial}{\partial x} (6 y^{7} x^{5}) = 30 y^{7} x^{4}

= 42 y^{8} x^{5} - 30 y^{7} x^{4}

\int \frac{z ^{2}}{z + 1} d z

y^{^{''}} + y^{^{'}} + 3 y = 0, y (0) = 0, y^{^{'}} (0) = 0

\frac{3}{t}

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

n = 1 \sum \infty \frac{1}{n ^{2} + 9}

What is (\partial)/(\partial x)(7y^8x^6-6y^7x^5) ?
The answer to (\partial)/(\partial x)(7y^8x^6-6y^7x^5) is 42y^8x^5-30y^7x^4