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Popular >

derivative of (sin(ln(t)))^2

Solution

derivative of

(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}

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x \to 0 lim (- \frac{4}{x ^{2}})

derivative of (x^3-5x^2+1)/(x^2)derivative of

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\int \frac{1}{x ^{2} x ^{2} - 100} d x

Frequently Asked Questions (FAQ)

What is the derivative of (sin(ln(t)))^2 ?
The derivative of (sin(ln(t)))^2 is (sin(2ln(t)))/t
What is the first derivative of (sin(ln(t)))^2 ?
The first derivative of (sin(ln(t)))^2 is (sin(2ln(t)))/t