What is the derivative of 1/3 tan(x) ?

The derivative of 1/3 tan(x) is 1/3 sec^2(x)

What is the first derivative of 1/3 tan(x) ?

The first derivative of 1/3 tan(x) is 1/3 sec^2(x)

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\frac{d}{d x} (\frac{1}{3} tan (x))

\frac{1}{3} sec^{2} (x)

Solution steps

\frac{d}{d x} (\frac{1}{3} tan (x))

Take the constant out:

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

= \frac{1}{3} \frac{d}{d x} (tan (x))

Apply the common derivative:

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

= \frac{1}{3} sec^{2} (x)

What is the derivative of 1/3 tan(x) ?
The derivative of 1/3 tan(x) is 1/3 sec^2(x)
What is the first derivative of 1/3 tan(x) ?
The first derivative of 1/3 tan(x) is 1/3 sec^2(x)