What is the derivative of f(x)=tan(4x) ?

The derivative of f(x)=tan(4x) is sec^2(4x)*4

What is the first derivative of f(x)=tan(4x) ?

The first derivative of f(x)=tan(4x) is sec^2(4x)*4

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derivative

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

Solution steps

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

Apply the chain rule:

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

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

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

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

What is the derivative of f(x)=tan(4x) ?
The derivative of f(x)=tan(4x) is sec^2(4x)*4
What is the first derivative of f(x)=tan(4x) ?
The first derivative of f(x)=tan(4x) is sec^2(4x)*4