What is (\partial)/(\partial x)((b)(3x+b)) ?

The answer to (\partial)/(\partial x)((b)(3x+b)) is 3b

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(\partial)/(\partial x)((b)(3x+b))

\frac{\partial}{\partial x} ((b) (3 x + b))

3 b

Solution steps

\frac{\partial}{\partial x} ((b) (3 x + b))

Treat

b

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= b \frac{\partial}{\partial x} (3 x + b)

Apply the Sum/Difference Rule:

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

= b (\frac{\partial}{\partial x} (3 x) + \frac{\partial}{\partial x} (b))

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

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

= b (3 + 0)

Simplify

= 3 b

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(0.1 e^{0.1 x}) (x + 0.9)

(8, - 8) y (9, 8)

(9 x + 16 y = 7,) (4 y - 3 x = 0)

What is (\partial)/(\partial x)((b)(3x+b)) ?
The answer to (\partial)/(\partial x)((b)(3x+b)) is 3b