What is the derivative of csc^2(tan(2t)) ?

The derivative of csc^2(tan(2t)) is -4csc^2(tan(2t))sec^2(2t)cot(tan(2t))

What is the first derivative of csc^2(tan(2t)) ?

The first derivative of csc^2(tan(2t)) is -4csc^2(tan(2t))sec^2(2t)cot(tan(2t))

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derivative of

csc^{2} (tan (2 t))

- 4 csc^{2} (tan (2 t)) sec^{2} (2 t) cot (tan (2 t))

Solution steps

\frac{d}{d t} (csc^{2} (tan (2 t)))

Apply the chain rule:

2 csc (tan (2 t)) \frac{d}{d t} (csc (tan (2 t)))

= 2 csc (tan (2 t)) \frac{d}{d t} (csc (tan (2 t)))

\frac{d}{d t} (csc (tan (2 t))) = - cot (tan (2 t)) csc (tan (2 t)) sec^{2} (2 t) \cdot 2

= 2 csc (tan (2 t)) (- cot (tan (2 t)) csc (tan (2 t)) sec^{2} (2 t) \cdot 2)

Simplify

2 csc (tan (2 t)) (- cot (tan (2 t)) csc (tan (2 t)) sec^{2} (2 t) \cdot 2) : - 4 csc^{2} (tan (2 t)) sec^{2} (2 t) cot (tan (2 t))

= - 4 csc^{2} (tan (2 t)) sec^{2} (2 t) cot (tan (2 t))

\frac{d}{d x} (x^{m} y^{n})

(6, - 9), (- 2, - 1)

2 x y + x^{2} y^{^{'}} = y^{2}

\int y^{2} (7 - y^{3})^{\frac{2}{3}} d y

9 (x^{2} + 5 x)^{2} (2 x + 5)

What is the derivative of csc^2(tan(2t)) ?
The derivative of csc^2(tan(2t)) is -4csc^2(tan(2t))sec^2(2t)cot(tan(2t))
What is the first derivative of csc^2(tan(2t)) ?
The first derivative of csc^2(tan(2t)) is -4csc^2(tan(2t))sec^2(2t)cot(tan(2t))