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Popular >

derivative of sin(x+sqrt(x)+5)

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (5) = 0

= cos (x + x) (1 + \frac{1}{2 x}) + 0

Simplify

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

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inverse oflaplace (s+1)/((s-1)*(s-2))inverse laplace

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Frequently Asked Questions (FAQ)

What is the derivative of sin(x+sqrt(x)+5) ?
The derivative of sin(x+sqrt(x)+5) is cos(x+sqrt(x))(1/(2sqrt(x))+1)
What is the first derivative of sin(x+sqrt(x)+5) ?
The first derivative of sin(x+sqrt(x)+5) is cos(x+sqrt(x))(1/(2sqrt(x))+1)