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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\frac{sin ^{2} ( x )}{cos ^{2} ( x )}

x \to 4 + lim (2 x - 7)

x + \frac{1}{x ^{3}}

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

\int \frac{1}{( u + 1 ) ^{2}} d u

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