What is (\partial)/(\partial x)(56y^6x^6-42y^5x^5) ?

The answer to (\partial)/(\partial x)(56y^6x^6-42y^5x^5) is 336y^6x^5-210y^5x^4

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(\partial)/(\partial x)(56y^6x^6-42y^5x^5)

\frac{\partial}{\partial x} (56 y^{6} x^{6} - 42 y^{5} x^{5})

336 y^{6} x^{5} - 210 y^{5} x^{4}

Solution steps

\frac{\partial}{\partial x} (56 y^{6} x^{6} - 42 y^{5} x^{5})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (56 y^{6} x^{6}) - \frac{\partial}{\partial x} (42 y^{5} x^{5})

\frac{\partial}{\partial x} (56 y^{6} x^{6}) = 336 y^{6} x^{5}

\frac{\partial}{\partial x} (42 y^{5} x^{5}) = 210 y^{5} x^{4}

= 336 y^{6} x^{5} - 210 y^{5} x^{4}

\frac{d}{d x} (arcsin (x) + 1 - x^{2})

f (x) = e^{x} - x^{4}

\frac{\partial}{\partial x} (- x e^{x})

n = 1 \sum \infty ln (\frac{n}{2 n + 5})

\int \frac{x ^{2} - x + 6}{x ^{3} + 3 x} d x

What is (\partial)/(\partial x)(56y^6x^6-42y^5x^5) ?
The answer to (\partial)/(\partial x)(56y^6x^6-42y^5x^5) is 336y^6x^5-210y^5x^4