What is the derivative of f(x)=3sin(x)+ln(2x) ?

The derivative of f(x)=3sin(x)+ln(2x) is 3cos(x)+1/x

What is the first derivative of f(x)=3sin(x)+ln(2x) ?

The first derivative of f(x)=3sin(x)+ln(2x) is 3cos(x)+1/x

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derivative of

f (x) = 3 sin (x) + ln (2 x)

3 cos (x) + \frac{1}{x}

Solution steps

\frac{d}{d x} (3 sin (x) + ln (2 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 sin (x)) + \frac{d}{d x} (ln (2 x))

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

\frac{d}{d x} (ln (2 x)) = \frac{1}{x}

= 3 cos (x) + \frac{1}{x}

\int \frac{1}{x ^{\frac{5}{2}}} d x

\frac{d}{d x} (3 arcsin (x) + 3 x arcsech (x))

\int \frac{24 x ^{3} - 6}{2 x ^{4} - 2 x + 3} d x

x \to 0 lim (5 - x^{2})

x \to 1 + lim (\frac{9}{x ^{3} - 1})

What is the derivative of f(x)=3sin(x)+ln(2x) ?
The derivative of f(x)=3sin(x)+ln(2x) is 3cos(x)+1/x
What is the first derivative of f(x)=3sin(x)+ln(2x) ?
The first derivative of f(x)=3sin(x)+ln(2x) is 3cos(x)+1/x