What is the derivative of 2sin(sqrt(x)-x) ?

The derivative of 2sin(sqrt(x)-x) is (cos(sqrt(x)))/(sqrt(x))-1

What is the first derivative of 2sin(sqrt(x)-x) ?

The first derivative of 2sin(sqrt(x)-x) is (cos(sqrt(x)))/(sqrt(x))-1

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\frac{d}{d x} (2 sin (x) - x)

\frac{cos ( x )}{x} - 1

Solution steps

\frac{d}{d x} (2 sin (x) - x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 sin (x)) - \frac{d x}{d x}

\frac{d}{d x} (2 sin (x)) = \frac{cos ( x )}{x}

\frac{d x}{d x} = 1

= \frac{cos ( x )}{x} - 1

(- \frac{5}{2}, 1), (- \frac{1}{2}, 4)

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\frac{\partial}{\partial x} (y^{4} cos (3 x) \cdot 3)

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What is the derivative of 2sin(sqrt(x)-x) ?
The derivative of 2sin(sqrt(x)-x) is (cos(sqrt(x)))/(sqrt(x))-1
What is the first derivative of 2sin(sqrt(x)-x) ?
The first derivative of 2sin(sqrt(x)-x) is (cos(sqrt(x)))/(sqrt(x))-1