What is (d^3)/(dx^3)(cot(2x)+3x^2) ?

The answer to (d^3)/(dx^3)(cot(2x)+3x^2) is 8(-2csc^4(2x)-4csc^2(2x)cot^2(2x))

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(d^3)/(dx^3)(cot(2x)+3x^2)

\frac{d ^{3}}{d x ^{3}} (cot (2 x) + 3 x^{2})

8 (- 2 csc^{4} (2 x) - 4 csc^{2} (2 x) cot^{2} (2 x))

Solution steps

\frac{d ^{3}}{d x ^{3}} (cot (2 x) + 3 x^{2})

\frac{d}{d x} (cot (2 x) + 3 x^{2}) = - csc^{2} (2 x) \cdot 2 + 6 x

= \frac{d ^{2}}{d x ^{2}} (- csc^{2} (2 x) \cdot 2 + 6 x)

\frac{d}{d x} (- csc^{2} (2 x) \cdot 2 + 6 x) = 8 csc^{2} (2 x) cot (2 x) + 6

= \frac{d}{d x} (8 csc^{2} (2 x) cot (2 x) + 6)

\frac{d}{d x} (8 csc^{2} (2 x) cot (2 x) + 6) = 8 (- 2 csc^{4} (2 x) - 4 csc^{2} (2 x) cot^{2} (2 x))

= 8 (- 2 csc^{4} (2 x) - 4 csc^{2} (2 x) cot^{2} (2 x))

\frac{d}{d x} (x^{4} - 8 x^{3} + 4 x^{2} + 48 x)

\frac{\partial}{\partial x} (x y + \frac{27}{x})

\frac{d}{d x} (e^{5 x + πi})

\int (6 + x^{5})^{2} 5 x^{4} d x

\frac{\partial}{\partial x} (- cos (2 x))

What is (d^3)/(dx^3)(cot(2x)+3x^2) ?
The answer to (d^3)/(dx^3)(cot(2x)+3x^2) is 8(-2csc^4(2x)-4csc^2(2x)cot^2(2x))