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Popular >

derivative of 2+sqrt(3+cos^2(x))

Solution

derivative of

2 + 3 + cos^{2} (x)

Solution

- \frac{sin ( 2 x )}{2 cos ^{2} ( x ) + 3}

Solution steps

\frac{d}{d x} (2 + 3 + cos^{2} (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2) + \frac{d}{d x} (3 + cos^{2} (x))

\frac{d}{d x} (2) = 0

\frac{d}{d x} (3 + cos^{2} (x)) = - \frac{sin ( 2 x )}{2 3 + cos ^{2} ( x )}

= 0 - \frac{sin ( 2 x )}{2 3 + cos ^{2} ( x )}

Simplify

= - \frac{sin ( 2 x )}{2 cos ^{2} ( x ) + 3}

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Frequently Asked Questions (FAQ)

What is the derivative of 2+sqrt(3+cos^2(x)) ?
The derivative of 2+sqrt(3+cos^2(x)) is -(sin(2x))/(2sqrt(cos^2(x)+3))
What is the first derivative of 2+sqrt(3+cos^2(x)) ?
The first derivative of 2+sqrt(3+cos^2(x)) is -(sin(2x))/(2sqrt(cos^2(x)+3))