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Popular >

derivative of sqrt(cos^2(x))

Solution

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

Solution

- \frac{sin ( 2 x )}{2 cos ( x )}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

Popular Examples

derivative of 2x^2-8x+11 derivative of

2 x^{2} - 8 x + 11

derivative of x^2(x+sin(x)^5)

\frac{d}{d x} (x^{2} (x + sin (x))^{5})

derivative of 2tsin(pit)derivative of

2 t sin (π t)

tangent of f(x)=x^2+3x+2,\at x=3 tangent of

f (x) = x^{2} + 3 x + 2, at x = 3

(dx)/(dt)=(x^3-xt^2)/(t^3)

\frac{d x}{d t} = \frac{x ^{3} - x t ^{2}}{t ^{3}}

Frequently Asked Questions (FAQ)

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