What is the derivative of tan(3x^4) ?

The derivative of tan(3x^4) is sec^2(3x^4)*12x^3

What is the first derivative of tan(3x^4) ?

The first derivative of tan(3x^4) is sec^2(3x^4)*12x^3

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\frac{d}{d x} (tan (3 x^{4}))

sec^{2} (3 x^{4}) \cdot 12 x^{3}

Solution steps

\frac{d}{d x} (tan (3 x^{4}))

Apply the chain rule:

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

= sec^{2} (3 x^{4}) \frac{d}{d x} (3 x^{4})

\frac{d}{d x} (3 x^{4}) = 12 x^{3}

= sec^{2} (3 x^{4}) \cdot 12 x^{3}

(sec (x) tan (x))^{^{'}}

\frac{3 ( 7 x ^{2} - 2 x + 6 )}{4 x ^{\frac{5}{2}}}

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

y = 2 sin (2 x)

\frac{\partial}{\partial x} (x y e^{2})

What is the derivative of tan(3x^4) ?
The derivative of tan(3x^4) is sec^2(3x^4)*12x^3
What is the first derivative of tan(3x^4) ?
The first derivative of tan(3x^4) is sec^2(3x^4)*12x^3