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Popular >

derivative of 7+cot(x-2csc(x))

Solution

\frac{d}{d x} (7 + cot (x) - 2 csc (x))

Solution

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

Solution steps

\frac{d}{d x} (7 + cot (x) - 2 csc (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7) + \frac{d}{d x} (cot (x)) - \frac{d}{d x} (2 csc (x))

\frac{d}{d x} (7) = 0

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

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

= 0 - csc^{2} (x) - (- 2 cot (x) csc (x))

Simplify

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

Popular Examples

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\int \frac{2}{x} + sec^{2} (x) d x

integral from 0 to 2 of t^2

\int_{0}^{2} t^{2} d t

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\frac{d}{d t} (\frac{4}{3} π t^{3})

(\partial)/(\partial t)(6e^xt+xt)

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(dy}{dx}=\frac{x^7-2y)/x

\frac{d y}{d x} = \frac{x ^{7} - 2 y}{x}

Frequently Asked Questions (FAQ)

What is the derivative of 7+cot(x-2csc(x)) ?
The derivative of 7+cot(x-2csc(x)) is 2cot(x)csc(x)-csc^2(x)
What is the first derivative of 7+cot(x-2csc(x)) ?
The first derivative of 7+cot(x-2csc(x)) is 2cot(x)csc(x)-csc^2(x)