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

The derivative of cot(3x^5) is -csc^2(3x^5)*15x^4

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

The first derivative of cot(3x^5) is -csc^2(3x^5)*15x^4

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derivative of

cot (3 x^{5})

- csc^{2} (3 x^{5}) \cdot 15 x^{4}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{5}) = 15 x^{4}

= - csc^{2} (3 x^{5}) \cdot 15 x^{4}

4 x - (\frac{4}{x ^{2}})

f (x) = \frac{5 ^{x}}{x}

y = \frac{1}{5 x}

ln (n + 1)

\frac{d}{d o} (7 o + (- 18) 0 - 61 + (- 9) 1)

What is the derivative of cot(3x^5) ?
The derivative of cot(3x^5) is -csc^2(3x^5)*15x^4
What is the first derivative of cot(3x^5) ?
The first derivative of cot(3x^5) is -csc^2(3x^5)*15x^4