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Popular >

derivative of f(x)=-5csc(x)+sec(x)

Solution

derivative of

f (x) = - 5 csc (x) + sec (x)

Solution

5 cot (x) csc (x) + sec (x) tan (x)

Solution steps

\frac{d}{d x} (- 5 csc (x) + sec (x))

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (5 csc (x)) + \frac{d}{d x} (sec (x))

\frac{d}{d x} (5 csc (x)) = - 5 cot (x) csc (x)

\frac{d}{d x} (sec (x)) = sec (x) tan (x)

= - (- 5 cot (x) csc (x)) + sec (x) tan (x)

Simplify

= 5 cot (x) csc (x) + sec (x) tan (x)

Popular Examples

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\int \frac{8 - sin ( x )}{x ^{2}} d x

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\int sec^{2} (4 x + 9) d x

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\int \frac{1}{7} x^{- \frac{3}{7}} d x

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

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=-5csc(x)+sec(x) ?
The derivative of f(x)=-5csc(x)+sec(x) is 5cot(x)csc(x)+sec(x)tan(x)
What is the first derivative of f(x)=-5csc(x)+sec(x) ?
The first derivative of f(x)=-5csc(x)+sec(x) is 5cot(x)csc(x)+sec(x)tan(x)