What is the derivative of y=(2x)/(7-cot(x)) ?

The derivative of y=(2x)/(7-cot(x)) is (2(7-cot(x)-xcsc^2(x)))/((7-cot(x))^2)

What is the first derivative of y=(2x)/(7-cot(x)) ?

The first derivative of y=(2x)/(7-cot(x)) is (2(7-cot(x)-xcsc^2(x)))/((7-cot(x))^2)

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derivative of

y = \frac{2 x}{7 - cot ( x )}

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= 2 \cdot \frac{\frac{d x}{d x} ( 7 - cot ( x ) ) - \frac{d}{d x} ( 7 - cot ( x ) ) x}{( 7 - cot ( x ) ) ^{2}}

\frac{d x}{d x} = 1

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

= 2 \cdot \frac{1 \cdot ( 7 - cot ( x ) ) - csc ^{2} ( x ) x}{( 7 - cot ( x ) ) ^{2}}

Simplify

2 \cdot \frac{1 \cdot ( 7 - cot ( x ) ) - csc ^{2} ( x ) x}{( 7 - cot ( x ) ) ^{2}} : \frac{2 ( 7 - cot ( x ) - x csc ^{2} ( x ) )}{( 7 - cot ( x ) ) ^{2}}

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

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

\int_{1}^{9} (x) d x

\int 49 d x

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

x^{^{''}} + 4 x^{^{'}} + 2 x = 0

What is the derivative of y=(2x)/(7-cot(x)) ?
The derivative of y=(2x)/(7-cot(x)) is (2(7-cot(x)-xcsc^2(x)))/((7-cot(x))^2)
What is the first derivative of y=(2x)/(7-cot(x)) ?
The first derivative of y=(2x)/(7-cot(x)) is (2(7-cot(x)-xcsc^2(x)))/((7-cot(x))^2)