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

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

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

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

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

6 x^{2} sec^{2} (x^{3}) tan (x^{3})

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 6 x^{2} sec^{2} (x^{3}) tan (x^{3})

x + 1 y = 3, x + 9 = y^{2}

\int \frac{x ^{3} + x ^{2}}{x ^{2} - 9 x + 20} d x

6 - x^{2}, x^{2} - 2, 0, 3

\int (\frac{π}{2} - 5 x^{- 0.5}) d x

\frac{d}{d x} ((1 + x)^{3})

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