What is the ((sin(x))/x)^' ?

The ((sin(x))/x)^' is (xcos(x)-sin(x))/(x^2)

What is the first ((sin(x))/x)^' ?

The first ((sin(x))/x)^' is (xcos(x)-sin(x))/(x^2)

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(\frac{sin ( x )}{x})^{^{'}}

\frac{x cos ( x ) - sin ( x )}{x ^{2}}

Solution steps

(\frac{sin ( x )}{x})^{'}

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{( sin ( x ) ) ^{^{'}} x - x ^{^{'}} sin ( x )}{x ^{2}}

(sin (x))^{'} = cos (x)

x^{'} = 1

= \frac{cos ( x ) x - 1 \cdot sin ( x )}{x ^{2}}

Simplify

= \frac{x cos ( x ) - sin ( x )}{x ^{2}}

f (x) = ln (3 + 4 x)

\frac{S}{( ( S ^{2} + 9 ) ^{2} )}

\int 3 e^{3 x} sin (e^{3 x}) d x

f (x) = x x

(4 x^{2} + 2 x y) \frac{d y}{d x} + (12 x y + 2 y^{2}) = 0

What is the ((sin(x))/x)^' ?
The ((sin(x))/x)^' is (xcos(x)-sin(x))/(x^2)
What is the first ((sin(x))/x)^' ?
The first ((sin(x))/x)^' is (xcos(x)-sin(x))/(x^2)