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

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

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

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

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derivative of

2 tan^{3} (x)

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

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

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

\frac{\partial}{\partial x} (6 x y + 5 x^{2})

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

\int (sec (x) - cot (x))^{2} d x

\frac{x ^{9} + 7}{x ^{9}}

\frac{d}{d x} (1 0^{(x^{2} - 1)})

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