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Popular >

derivative of csc^2(2x-csc(2)x^2)

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

Graph

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Frequently Asked Questions (FAQ)

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