What is the derivative of 5tan(2x^3) ?

The derivative of 5tan(2x^3) is 30x^2sec^2(2x^3)

What is the first derivative of 5tan(2x^3) ?

The first derivative of 5tan(2x^3) is 30x^2sec^2(2x^3)

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

30 x^{2} sec^{2} (2 x^{3})

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

= 5 sec^{2} (2 x^{3}) \cdot 6 x^{2}

Simplify

= 30 x^{2} sec^{2} (2 x^{3})

\int b x d x

n = 1 \sum \infty 9 (\frac{1}{10})^{n}

\frac{d}{d x} (x^{c o s (x)})

\frac{\partial}{\partial x} (sin (- 3 x) cos (6 y))

\frac{d}{d x} ((cos (x))^{5})

What is the derivative of 5tan(2x^3) ?
The derivative of 5tan(2x^3) is 30x^2sec^2(2x^3)
What is the first derivative of 5tan(2x^3) ?
The first derivative of 5tan(2x^3) is 30x^2sec^2(2x^3)