What is the derivative of f(x)=tan(3x) ?

The derivative of f(x)=tan(3x) is sec^2(3x)*3

What is the first derivative of f(x)=tan(3x) ?

The first derivative of f(x)=tan(3x) is sec^2(3x)*3

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derivative of

f (x) = tan (3 x)

sec^{2} (3 x) \cdot 3

Solution steps

\frac{d}{d x} (tan (3 x))

Apply the chain rule:

sec^{2} (3 x) \frac{d}{d x} (3 x)

= sec^{2} (3 x) \frac{d}{d x} (3 x)

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

= sec^{2} (3 x) \cdot 3

What is the derivative of f(x)=tan(3x) ?
The derivative of f(x)=tan(3x) is sec^2(3x)*3
What is the first derivative of f(x)=tan(3x) ?
The first derivative of f(x)=tan(3x) is sec^2(3x)*3