What is the derivative of tan(5x^4) ?

The derivative of tan(5x^4) is sec^2(5x^4)*20x^3

What is the first derivative of tan(5x^4) ?

The first derivative of tan(5x^4) is sec^2(5x^4)*20x^3

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\frac{d}{d x} (tan (5 x^{4}))

sec^{2} (5 x^{4}) \cdot 20 x^{3}

Solution steps

\frac{d}{d x} (tan (5 x^{4}))

Apply the chain rule:

sec^{2} (5 x^{4}) \frac{d}{d x} (5 x^{4})

= sec^{2} (5 x^{4}) \frac{d}{d x} (5 x^{4})

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

= sec^{2} (5 x^{4}) \cdot 20 x^{3}

\int \frac{sin ( θ )}{cos ^{3} ( θ )} d θ

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

\frac{d y}{d x} = 6 x (x - 3)

\int \frac{x + 2}{( x ^{2} + 4 x ) ^{2}} d x

4 x - 8

What is the derivative of tan(5x^4) ?
The derivative of tan(5x^4) is sec^2(5x^4)*20x^3
What is the first derivative of tan(5x^4) ?
The first derivative of tan(5x^4) is sec^2(5x^4)*20x^3