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Popular >

derivative of sin(3ln(x))

Solution

derivative of

sin (3 ln (x))

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Popular Examples

limit as x approaches 1 of 2x^3-4x^2+x+3

x \to 1 lim (2 x^{3} - 4 x^{2} + x + 3)

(\partial)/(\partial x)(3ln(x+y)-3x)

\frac{\partial}{\partial x} (3 ln (x + y) - 3 x)

sum from n=0 to infinity of (ln(n))/(5n)

n = 0 \sum \infty \frac{ln ( n )}{5 n}

derivative of pit+cos((4pit+pi)/2)derivative of

π t + cos (\frac{4 π t + π}{2})

laplacetransform sin(3t-1/2)laplace transform

sin (3 t - \frac{1}{2})

Frequently Asked Questions (FAQ)

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