What is the derivative of f(x)=3sin(x)+ln(5x) ?

The derivative of f(x)=3sin(x)+ln(5x) is 3cos(x)+1/x

What is the first derivative of f(x)=3sin(x)+ln(5x) ?

The first derivative of f(x)=3sin(x)+ln(5x) is 3cos(x)+1/x

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derivative of

f (x) = 3 sin (x) + ln (5 x)

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

Solution steps

\frac{d}{d x} (3 sin (x) + ln (5 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 sin (x)) + \frac{d}{d x} (ln (5 x))

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

\frac{d}{d x} (ln (5 x)) = \frac{1}{x}

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

\int_{- 2}^{2} 4 - x^{2} d x

x \to 2 lim (e^{\frac{1}{2 - x}})

y = 2 + \frac{1}{x}, (2, 2.5)

\int csc^{8} (x) d x

\int sin (x) - \frac{1}{3} sin^{3} (x) d x

What is the derivative of f(x)=3sin(x)+ln(5x) ?
The derivative of f(x)=3sin(x)+ln(5x) is 3cos(x)+1/x
What is the first derivative of f(x)=3sin(x)+ln(5x) ?
The first derivative of f(x)=3sin(x)+ln(5x) is 3cos(x)+1/x