What is the derivative of sin(ln(x^2)) ?

The derivative of sin(ln(x^2)) is (2cos(2ln(x)))/x

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

The first derivative of sin(ln(x^2)) is (2cos(2ln(x)))/x

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int x^{2} e^{a x} d x

y^{^{'}} = y tan (x) + sin (x)

\int - x + 8 d x

(4 x + cos (2))^{55}

\int \frac{x}{10} d x

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