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Popular >

derivative of-4tan(x-csc(x))

Solution

\frac{d}{d x} (- 4 tan (x) - csc (x))

Solution

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

Solution steps

\frac{d}{d x} (- 4 tan (x) - csc (x))

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (4 tan (x)) - \frac{d}{d x} (csc (x))

\frac{d}{d x} (4 tan (x)) = 4 sec^{2} (x)

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

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

Simplify

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

Popular Examples

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\int_{0}^{1} 3 (1 + x)^{6} d x

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Frequently Asked Questions (FAQ)

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