What is the derivative of tan(3x-3x) ?

The derivative of tan(3x-3x) is 3tan^2(3x)

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

The first derivative of tan(3x-3x) is 3tan^2(3x)

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

3 tan^{2} (3 x)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

Simplify

sec^{2} (3 x) \cdot 3 - 3 : 3 tan^{2} (3 x)

= 3 tan^{2} (3 x)

What is the derivative of tan(3x-3x) ?
The derivative of tan(3x-3x) is 3tan^2(3x)
What is the first derivative of tan(3x-3x) ?
The first derivative of tan(3x-3x) is 3tan^2(3x)