What is the derivative of 3/x+5sin(x) ?

The derivative of 3/x+5sin(x) is -3/(x^2)+5cos(x)

What is the first derivative of 3/x+5sin(x) ?

The first derivative of 3/x+5sin(x) is -3/(x^2)+5cos(x)

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

- \frac{3}{x ^{2}} + 5 cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (5 sin (x)) = 5 cos (x)

= - \frac{3}{x ^{2}} + 5 cos (x)

\frac{3}{2 ( s + 1 ) ^{2} + 32}

\int tan^{4} (6 x) d x

5 x + 3

\int \frac{10}{x - 5} d x

f (x) = 2 x^{2} - 7 x + 5, at x = 3

What is the derivative of 3/x+5sin(x) ?
The derivative of 3/x+5sin(x) is -3/(x^2)+5cos(x)
What is the first derivative of 3/x+5sin(x) ?
The first derivative of 3/x+5sin(x) is -3/(x^2)+5cos(x)