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Popular >

derivative of cos^2(ln(x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

= 2 cos (ln (x)) \frac{d}{d x} (cos (ln (x)))

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

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

Simplify

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

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

Popular Examples

y^{''}+8y^'+6y=0

y^{^{''}} + 8 y^{^{'}} + 6 y = 0

inverse oflaplace (4s+3)/(s(s^2+6s+34))inverse laplace

\frac{4 s + 3}{s ( s ^{2} + 6 s + 34 )}

f^'(x)=sqrt(x+1)

f^{^{'}} (x) = x + 1

derivative of-sin(2x*2+cos(2x)*2)

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

integral of x^2-7x+8

\int x^{2} - 7 x + 8 d x

Frequently Asked Questions (FAQ)

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