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Popular >

derivative of ln(25sin^2(x))

Solution

derivative of

ln (25 sin^{2} (x))

Solution

2 cot (x)

Solution steps

\frac{d}{d x} (ln (25 sin^{2} (x)))

Apply the chain rule:

\frac{1}{25 sin ^{2} ( x )} \frac{d}{d x} (25 sin^{2} (x))

= \frac{1}{25 sin ^{2} ( x )} \frac{d}{d x} (25 sin^{2} (x))

\frac{d}{d x} (25 sin^{2} (x)) = 25 sin (2 x)

= \frac{1}{25 sin ^{2} ( x )} \cdot 25 sin (2 x)

Simplify

\frac{1}{25 sin ^{2} ( x )} \cdot 25 sin (2 x) : 2 cot (x)

= 2 cot (x)

Popular Examples

limit as x approaches infinity of ((3x^3+12x^2-8x+1))/((x^2+2)(3x-1))

x \to \infty lim (\frac{( 3 x ^{3} + 12 x ^{2} - 8 x + 1 )}{( x ^{2} + 2 ) ( 3 x - 1 )})

y^{'''}-9y^{''}+27y^'-27y=0

y^{^{'''}} - 9 y^{^{''}} + 27 y^{^{'}} - 27 y = 0

derivative of arcsin(8x)

\frac{d}{d x} (arcsin (8 x))

derivative of e^{-5/(t^7)}derivative of

e^{- \frac{5}{t ^{7}}}

derivative of ln(2x-1)derivative of

ln (2 x - 1)

Frequently Asked Questions (FAQ)

What is the derivative of ln(25sin^2(x)) ?
The derivative of ln(25sin^2(x)) is 2cot(x)
What is the first derivative of ln(25sin^2(x)) ?
The first derivative of ln(25sin^2(x)) is 2cot(x)