What is the derivative of 3tan(4x) ?

The derivative of 3tan(4x) is 12sec^2(4x)

What is the first derivative of 3tan(4x) ?

The first derivative of 3tan(4x) is 12sec^2(4x)

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\frac{d}{d x} (3 tan (4 x))

12 sec^{2} (4 x)

Solution steps

\frac{d}{d x} (3 tan (4 x))

Take the constant out:

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

= 3 \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

= 3 sec^{2} (4 x) \cdot 4

Simplify

= 12 sec^{2} (4 x)

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

\int \frac{x - 39}{x ^{2} - x - 12} d x

\int_{0}^{1} \frac{4 t ^{3}}{1 + t ^{4}} d t

y^{^{''}} + 9 y = 0, y (0) = - 6, y^{^{'}} (0) = - 9

\frac{d}{d x} (\frac{- 8 x}{( x ^{2} - 4 ) ^{2}})

What is the derivative of 3tan(4x) ?
The derivative of 3tan(4x) is 12sec^2(4x)
What is the first derivative of 3tan(4x) ?
The first derivative of 3tan(4x) is 12sec^2(4x)