What is the derivative of 3ln(x-12sin(x)) ?

The derivative of 3ln(x-12sin(x)) is 3/x-12cos(x)

What is the first derivative of 3ln(x-12sin(x)) ?

The first derivative of 3ln(x-12sin(x)) is 3/x-12cos(x)

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\frac{d}{d x} (3 ln (x) - 12 sin (x))

\frac{3}{x} - 12 cos (x)

Solution steps

\frac{d}{d x} (3 ln (x) - 12 sin (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3 ln (x)) - \frac{d}{d x} (12 sin (x))

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

\frac{d}{d x} (12 sin (x)) = 12 cos (x)

= \frac{3}{x} - 12 cos (x)

\frac{\partial}{\partial x} (\frac{2 y}{( x ^{2} + y ^{2} )})

x \to 0 + lim (cos (x) - 1)

\int 2 sec (x) tan (x) d x

\int \frac{cot ^{2} ( 2 x )}{sec ( 2 x )} d x

\int \frac{4 x ^{2}}{( x - 2 ) ^{3}} d x

What is the derivative of 3ln(x-12sin(x)) ?
The derivative of 3ln(x-12sin(x)) is 3/x-12cos(x)
What is the first derivative of 3ln(x-12sin(x)) ?
The first derivative of 3ln(x-12sin(x)) is 3/x-12cos(x)