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

The derivative of tan(2x^5) is sec^2(2x^5)*10x^4

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

The first derivative of tan(2x^5) is sec^2(2x^5)*10x^4

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

sec^{2} (2 x^{5}) \cdot 10 x^{4}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 x^{5}) = 10 x^{4}

= sec^{2} (2 x^{5}) \cdot 10 x^{4}

\int \frac{2 x}{x ^{2} - x - 2} d x

s \to 0 lim (\frac{1}{s ^{2} 0.1 s + 1})

\int 4 cos^{2} (t) d t

x \to 0 lim (\frac{sin ^{2} ( 6 x )}{x})

x \to \infty lim (2 x^{x})

What is the derivative of tan(2x^5) ?
The derivative of tan(2x^5) is sec^2(2x^5)*10x^4
What is the first derivative of tan(2x^5) ?
The first derivative of tan(2x^5) is sec^2(2x^5)*10x^4