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Popular >

derivative of sin(ln(x^3))

Solution

\frac{d}{d x} (sin (ln (x^{3})))

Solution

\frac{3 cos ( 3 ln ( x ) )}{x}

Solution steps

\frac{d}{d x} (sin (ln (x^{3})))

Apply the chain rule:

cos (ln (x^{3})) \frac{d}{d x} (ln (x^{3}))

= cos (ln (x^{3})) \frac{d}{d x} (ln (x^{3}))

\frac{d}{d x} (ln (x^{3})) = \frac{3}{x}

= cos (ln (x^{3})) \frac{3}{x}

Simplify

cos (ln (x^{3})) \frac{3}{x} : \frac{3 cos ( 3 ln ( x ) )}{x}

= \frac{3 cos ( 3 ln ( x ) )}{x}

Graph

Popular Examples

integral of 1/(x^3-x^2-9x+9)

\int \frac{1}{x ^{3} - x ^{2} - 9 x + 9} d x

derivative of f(x)=2x^3+5 derivative of

f (x) = 2 x^{3} + 5

integral of 9sec^3(5x)

\int 9 sec^{3} (5 x) d x

derivative of 8x^7(x-1)^7+7(x-1)^6x^8 derivative of

8 x^{7} (x - 1)^{7} + 7 (x - 1)^{6} x^{8}

(\partial)/(\partial x)(7y^8x^6-6y^7x^5)

\frac{\partial}{\partial x} (7 y^{8} x^{6} - 6 y^{7} x^{5})

Frequently Asked Questions (FAQ)

What is the derivative of sin(ln(x^3)) ?
The derivative of sin(ln(x^3)) is (3cos(3ln(x)))/x
What is the first derivative of sin(ln(x^3)) ?
The first derivative of sin(ln(x^3)) is (3cos(3ln(x)))/x