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Popular >

d/(dt)((sin(ln(t)))^2)

Solution

\frac{d}{d t} ((sin (ln (t)))^{2})

Solution

\frac{sin ( 2 ln ( t ) )}{t}

Solution steps

\frac{d}{d t} ((sin (ln (t)))^{2})

Apply the chain rule:

2 sin (ln (t)) \frac{d}{d t} (sin (ln (t)))

= 2 sin (ln (t)) \frac{d}{d t} (sin (ln (t)))

\frac{d}{d t} (sin (ln (t))) = \frac{cos ( ln ( t ) )}{t}

= 2 sin (ln (t)) \frac{cos ( ln ( t ) )}{t}

Simplify

2 sin (ln (t)) \frac{cos ( ln ( t ) )}{t} : \frac{sin ( 2 ln ( t ) )}{t}

= \frac{sin ( 2 ln ( t ) )}{t}

Graph

Popular Examples

integral from 1 to 10 of (29)/(x^3)

\int_{1}^{10} \frac{29}{x ^{3}} d x

integral of (x^2+ln(2x)+e^{-2x})

\int (x^{2} + ln (2 x) + e^{- 2 x}) d x

limit as x approaches 0 of 1-e^{-x}

x \to 0 lim (1 - e^{- x})

integral of (sqrt((a+x)))/(sqrt((a-x)))

\int \frac{( a + x )}{( a - x )} d x

limit as x approaches-10 of x^2-11x+10

x \to - 10 lim (x^{2} - 11 x + 10)

Frequently Asked Questions (FAQ)

What is the d/(dt)((sin(ln(t)))^2) ?
The d/(dt)((sin(ln(t)))^2) is (sin(2ln(t)))/t
What is the first d/(dt)((sin(ln(t)))^2) ?
The first d/(dt)((sin(ln(t)))^2) is (sin(2ln(t)))/t