What is the derivative of ((sin(x)/(1+cos(x)))^2) ?

The derivative of ((sin(x)/(1+cos(x)))^2) is (2sin(x))/((1+cos(x))^2)

What is the first derivative of ((sin(x)/(1+cos(x)))^2) ?

The first derivative of ((sin(x)/(1+cos(x)))^2) is (2sin(x))/((1+cos(x))^2)

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\frac{d}{d x} ((\frac{sin ( x )}{1 + cos ( x )})^{2})

\frac{2 sin ( x )}{( 1 + cos ( x ) ) ^{2}}

Solution steps

\frac{d}{d x} ((\frac{sin ( x )}{1 + cos ( x )})^{2})

Apply the chain rule:

2 \cdot \frac{sin ( x )}{1 + cos ( x )} \frac{d}{d x} (\frac{sin ( x )}{1 + cos ( x )})

= 2 \cdot \frac{sin ( x )}{1 + cos ( x )} \frac{d}{d x} (\frac{sin ( x )}{1 + cos ( x )})

\frac{d}{d x} (\frac{sin ( x )}{1 + cos ( x )}) = \frac{1}{1 + cos ( x )}

= 2 \cdot \frac{sin ( x )}{1 + cos ( x )} \cdot \frac{1}{1 + cos ( x )}

Simplify

2 \cdot \frac{sin ( x )}{1 + cos ( x )} \cdot \frac{1}{1 + cos ( x )} : \frac{2 sin ( x )}{( 1 + cos ( x ) ) ^{2}}

= \frac{2 sin ( x )}{( 1 + cos ( x ) ) ^{2}}

f (x) = x^{2} - 4 x

\frac{45}{0.01 x ^{2} + 1}

\frac{\partial}{\partial x} (x^{3} - 15 x y + y^{3})

x^{3}, 2 x - 12.3 x^{2}

\frac{d}{d x} (arctan (\frac{1}{10 x}) + 1)

What is the derivative of ((sin(x)/(1+cos(x)))^2) ?
The derivative of ((sin(x)/(1+cos(x)))^2) is (2sin(x))/((1+cos(x))^2)
What is the first derivative of ((sin(x)/(1+cos(x)))^2) ?
The first derivative of ((sin(x)/(1+cos(x)))^2) is (2sin(x))/((1+cos(x))^2)