What is (\partial)/(\partial x)(9x+16|y|) ?

The answer to (\partial)/(\partial x)(9x+16|y|) is 9

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(\partial)/(\partial x)(9x+16|y|)

\frac{\partial}{\partial x} (9 x + 16 ∣ y ∣)

9

Solution steps

\frac{\partial}{\partial x} (9 x + 16 ∣ y ∣)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (9 x) + \frac{\partial}{\partial x} (16 ∣ y ∣)

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

\frac{\partial}{\partial x} (16 ∣ y ∣) = 0

= 9 + 0

Simplify

= 9

\int \frac{1}{( x ( ( 4 x ^{2} - 9 ) ) )} d x

x \to 5 lim (2 x - 7)

\int \frac{1}{π} x cos (n x) d x

x \to - 4 lim (\frac{4}{x + 4})

\frac{\partial}{\partial x} (3 x^{2} + x y^{3} - 2 y^{2} + 3)

What is (\partial)/(\partial x)(9x+16|y|) ?
The answer to (\partial)/(\partial x)(9x+16|y|) is 9