What is (\partial)/(\partial x)(3sin(4x)) ?

The answer to (\partial)/(\partial x)(3sin(4x)) is 12cos(4x)

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(\partial)/(\partial x)(3sin(4x))

\frac{\partial}{\partial x} (3 sin (4 x))

12 cos (4 x)

Solution steps

\frac{\partial}{\partial x} (3 sin (4 x))

Take the constant out:

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

= 3 \frac{\partial}{\partial x} (sin (4 x))

Apply the chain rule:

cos (4 x) \frac{\partial}{\partial x} (4 x)

= cos (4 x) \frac{\partial}{\partial x} (4 x)

\frac{\partial}{\partial x} (4 x) = 4

= 3 cos (4 x) \cdot 4

Simplify

= 12 cos (4 x)

\frac{d}{d x} (- \frac{x ^{4}}{4})

\frac{d y}{y ^{3}} = x^{- 2} d x

\int \frac{3 ^{x}}{1 + 9 ^{x}} d x

- \frac{12}{x ^{5}}

f (x) = - 3 x^{2} - 4 x

What is (\partial)/(\partial x)(3sin(4x)) ?
The answer to (\partial)/(\partial x)(3sin(4x)) is 12cos(4x)