What is the derivative of sin(x+sqrt(x)) ?

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

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

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

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

cos (x) + \frac{1}{2 x}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (x) = \frac{1}{2 x}

= cos (x) + \frac{1}{2 x}

\int \frac{x ^{4} - 2 x + 1}{x ^{2}} d x

\frac{\partial}{\partial x} (sin (x) yz)

5 sin (x - 0.64)

\int 7 16 - 2 x - 14 d x

x \to - 7 - lim (\frac{x + 6}{x + 7})

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