What is (\partial)/(\partial x)(tan(4x)) ?

The answer to (\partial)/(\partial x)(tan(4x)) is sec^2(4x)*4

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(\partial)/(\partial x)(tan(4x))

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

sec^{2} (4 x) \cdot 4

Solution steps

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

Apply the chain rule:

sec^{2} (4 x) \frac{\partial}{\partial x} (4 x)

= sec^{2} (4 x) \frac{\partial}{\partial x} (4 x)

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

= sec^{2} (4 x) \cdot 4

\frac{d}{d t} (t^{2} - t)

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

x y^{^{'}} + 3 y = 5 x^{2}

\frac{\partial}{\partial t} (e^{- t} cos (π x))

y = (\frac{6 - 5 x}{x ^{2} - 1})^{2}

What is (\partial)/(\partial x)(tan(4x)) ?
The answer to (\partial)/(\partial x)(tan(4x)) is sec^2(4x)*4