What is (\partial)/(\partial x)(-(1+3xy)) ?

The answer to (\partial)/(\partial x)(-(1+3xy)) is -3y

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(\partial)/(\partial x)(-(1+3xy))

\frac{\partial}{\partial x} (- (1 + 3 x y))

- 3 y

Solution steps

\frac{\partial}{\partial x} (- (1 + 3 x y))

Simplify

- (1 + 3 x y) : - 1 - 3 x y

= \frac{\partial}{\partial x} (- 1 - 3 x y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= - \frac{\partial}{\partial x} (1) - \frac{\partial}{\partial x} (3 x y)

\frac{\partial}{\partial x} (1) = 0

\frac{\partial}{\partial x} (3 x y) = 3 y

= - 0 - 3 y

Simplify

= - 3 y

\frac{\partial}{\partial x} (x^{3} - y^{4})

f (x) = x^{3} - 6 x^{2} - 34 x + 40, at x = 4

\frac{\partial}{\partial x} (9 x sin (6 x^{2} y))

y = \frac{5 x}{1 + x ^{2}}, (5, \frac{25}{26})

What is (\partial)/(\partial x)(-(1+3xy)) ?
The answer to (\partial)/(\partial x)(-(1+3xy)) is -3y