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Popular >

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

Solution

derivative of

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

(dy)/(dx)=-3-2x-y

\frac{d y}{d x} = - 3 - 2 x - y

integral of 1/(sqrt(-x^2+8x-12))

\int \frac{1}{- x ^{2} + 8 x - 12} d x

derivative of-(In(x^3)/x)

\frac{d}{d x} (- \frac{I n ( x ^{3} )}{x})

implicit x^5+x^2y+9y^2=13 implicit derivative

x^{5} + x^{2} y + 9 y^{2} = 13

area y=4x-x^2,y=3-x area

y = 4 x - x^{2}, y = 3 - 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)