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Popular >

derivative of-2cot(x+3csc(x))

Solution

\frac{d}{d x} (- 2 cot (x) + 3 csc (x))

Solution

2 csc^{2} (x) - 3 cot (x) csc (x)

Solution steps

\frac{d}{d x} (- 2 cot (x) + 3 csc (x))

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (2 cot (x)) + \frac{d}{d x} (3 csc (x))

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

\frac{d}{d x} (3 csc (x)) = - 3 cot (x) csc (x)

= - (- 2 csc^{2} (x)) - 3 cot (x) csc (x)

Simplify

= 2 csc^{2} (x) - 3 cot (x) csc (x)

Popular Examples

area y=5cos(x),y=5sin(x),0<= x<= pi area

y = 5 cos (x), y = 5 sin (x), 0 \leq x \leq π

derivative of (x^2-1^{1/3})

\frac{d}{d x} ((x^{2} - 1)^{\frac{1}{3}})

integral of 0sin(nx)

\int 0 sin (n x) d x

f(x)=0.1x^3-0.45x^2+2.43x+300

f (x) = 0.1 x^{3} - 0.45 x^{2} + 2.43 x + 300

derivative of 3/(x^2-4)

\frac{d}{d x} (\frac{3}{x ^{2} - 4})

Frequently Asked Questions (FAQ)

What is the derivative of-2cot(x+3csc(x)) ?
The derivative of-2cot(x+3csc(x)) is 2csc^2(x)-3cot(x)csc(x)
What is the first derivative of-2cot(x+3csc(x)) ?
The first derivative of-2cot(x+3csc(x)) is 2csc^2(x)-3cot(x)csc(x)