What is the derivative of tan(5x^3) ?

The derivative of tan(5x^3) is sec^2(5x^3)*15x^2

What is the first derivative of tan(5x^3) ?

The first derivative of tan(5x^3) is sec^2(5x^3)*15x^2

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\frac{d}{d x} (tan (5 x^{3}))

sec^{2} (5 x^{3}) \cdot 15 x^{2}

Solution steps

\frac{d}{d x} (tan (5 x^{3}))

Apply the chain rule:

sec^{2} (5 x^{3}) \frac{d}{d x} (5 x^{3})

= sec^{2} (5 x^{3}) \frac{d}{d x} (5 x^{3})

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

= sec^{2} (5 x^{3}) \cdot 15 x^{2}

\int e^{2 x} ln (e^{x}) d x

y = x^{2} - 8 x, at x = - 8

\frac{d}{d y} (e^{x y z})

\int (\frac{1}{2 x ^{3}}) d x

\int sin^{3} (x co) s^{2} x d x

What is the derivative of tan(5x^3) ?
The derivative of tan(5x^3) is sec^2(5x^3)*15x^2
What is the first derivative of tan(5x^3) ?
The first derivative of tan(5x^3) is sec^2(5x^3)*15x^2