What is (\partial)/(\partial x)(5+2sin(4x)) ?

The answer to (\partial)/(\partial x)(5+2sin(4x)) is 8cos(4x)

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(\partial)/(\partial x)(5+2sin(4x))

\frac{\partial}{\partial x} (5 + 2 sin (4 x))

8 cos (4 x)

Solution steps

\frac{\partial}{\partial x} (5 + 2 sin (4 x))

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (5) + \frac{\partial}{\partial x} (2 sin (4 x))

\frac{\partial}{\partial x} (5) = 0

\frac{\partial}{\partial x} (2 sin (4 x)) = 8 cos (4 x)

= 0 + 8 cos (4 x)

Simplify

= 8 cos (4 x)

x \to - 4 - lim (\frac{- 6 x}{x + 4})

\frac{d}{d x} ((5 - x)^{2})

3 cos (5 ln (x))

e^{x + 1}

5 - 7 x

What is (\partial)/(\partial x)(5+2sin(4x)) ?
The answer to (\partial)/(\partial x)(5+2sin(4x)) is 8cos(4x)