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

The derivative of (tan(2x)^3) is 6tan^2(2x)sec^2(2x)

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

The first derivative of (tan(2x)^3) is 6tan^2(2x)sec^2(2x)

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

6 tan^{2} (2 x) sec^{2} (2 x)

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 6 tan^{2} (2 x) sec^{2} (2 x)

y^{^{'}} = 1 - y^{2}

(2 x - 7)^{4} (x^{2} + x + 1)^{5}

(9 z^{4} + 3 z^{2} + 1) (3 z^{3} - z)

y^{^{'}} = 8 x + y, y (0) = 4

\frac{\partial}{\partial t} (a e^{k x + wt})

What is the derivative of (tan(2x)^3) ?
The derivative of (tan(2x)^3) is 6tan^2(2x)sec^2(2x)
What is the first derivative of (tan(2x)^3) ?
The first derivative of (tan(2x)^3) is 6tan^2(2x)sec^2(2x)