What is (\partial)/(\partial x)(36x^8y^5+8x^7y^3) ?

The answer to (\partial)/(\partial x)(36x^8y^5+8x^7y^3) is 288y^5x^7+56y^3x^6

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(\partial)/(\partial x)(36x^8y^5+8x^7y^3)

\frac{\partial}{\partial x} (36 x^{8} y^{5} + 8 x^{7} y^{3})

288 y^{5} x^{7} + 56 y^{3} x^{6}

Solution steps

\frac{\partial}{\partial x} (36 x^{8} y^{5} + 8 x^{7} y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (36 x^{8} y^{5}) + \frac{\partial}{\partial x} (8 x^{7} y^{3})

\frac{\partial}{\partial x} (36 x^{8} y^{5}) = 288 y^{5} x^{7}

\frac{\partial}{\partial x} (8 x^{7} y^{3}) = 56 y^{3} x^{6}

= 288 y^{5} x^{7} + 56 y^{3} x^{6}

x \to 0 + lim ((e^{x} + x)^{\frac{4}{x}})

\int_{0}^{1} 4 (1 + x)^{8} d x

\int 0.6 x^{2} - 4.4 x + 60 d x

\int \frac{x + 2}{x + 3} d x

- 10 x^{2} y + y^{^{'}} = 9 x^{2}

What is (\partial)/(\partial x)(36x^8y^5+8x^7y^3) ?
The answer to (\partial)/(\partial x)(36x^8y^5+8x^7y^3) is 288y^5x^7+56y^3x^6