What is (\partial)/(\partial x)(x^9-7y) ?

The answer to (\partial)/(\partial x)(x^9-7y) is 9x^8

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(\partial)/(\partial x)(x^9-7y)

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

9 x^{8}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (x^{9}) = 9 x^{8}

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

= 9 x^{8} - 0

Simplify

= 9 x^{8}

\int e^{1.2 x} d x

4 - x + 16

\int \frac{1}{x ^{2} 5 + x ^{2}} d x

5 π^{6}

x \to 0 - lim (arctan (ln (x)))

What is (\partial)/(\partial x)(x^9-7y) ?
The answer to (\partial)/(\partial x)(x^9-7y) is 9x^8