What is the derivative of 5ln(x)+cos(x) ?

The derivative of 5ln(x)+cos(x) is 5/x-sin(x)

What is the first derivative of 5ln(x)+cos(x) ?

The first derivative of 5ln(x)+cos(x) is 5/x-sin(x)

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derivative of

5 ln (x) + cos (x)

\frac{5}{x} - sin (x)

Solution steps

\frac{d}{d x} (5 ln (x) + cos (x))

Apply the Sum/Difference Rule:

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

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

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

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

= \frac{5}{x} - sin (x)

y^{^{'}} = \frac{y + 8}{x + 6}

\int e^{x} + y d x

\int cos (r^{2}) r d r

x \to 3 lim (\frac{x - 3}{x + 6})

y = 1 0^{3 x}

What is the derivative of 5ln(x)+cos(x) ?
The derivative of 5ln(x)+cos(x) is 5/x-sin(x)
What is the first derivative of 5ln(x)+cos(x) ?
The first derivative of 5ln(x)+cos(x) is 5/x-sin(x)