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

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

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

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

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

12 tan^{2} (4 x) sec^{2} (4 x)

Solution steps

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

Apply the chain rule:

3 (tan (4 x))^{2} \frac{d}{d x} (tan (4 x))

= 3 (tan (4 x))^{2} \frac{d}{d x} (tan (4 x))

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

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

Simplify

= 12 tan^{2} (4 x) sec^{2} (4 x)

\int 11 x d x

\frac{d}{d x} (arctan (x))

\int_{1}^{6} \frac{x ^{2} + 8}{7 x - x ^{2}} d x

f (x) = - 2 x^{3}, (2, - 16)

\frac{d y}{d x} = (x + y + 7)^{2}

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