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

The answer to (\partial)/(\partial x)(7y^9+5y^7x^4) is 20y^7x^3

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

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

20 y^{7} x^{3}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (7 y^{9}) = 0

\frac{\partial}{\partial x} (5 y^{7} x^{4}) = 20 y^{7} x^{3}

= 0 + 20 y^{7} x^{3}

Simplify

= 20 y^{7} x^{3}

f (x) = a^{3} + cos^{3} (x)

\int sin (2 - 3 x) d x

\int \frac{x ^{2} - 24}{x ( x + 2 ) ^{3}} d x

\frac{d ^{2}}{d x ^{2}} (sec^{2} (x))

\frac{d}{d x} ((tan (x))^{t a n (x)})

What is (\partial)/(\partial x)(7y^9+5y^7x^4) ?
The answer to (\partial)/(\partial x)(7y^9+5y^7x^4) is 20y^7x^3